Courses

AP (Advanced Placement) Calculus AB : Differentiation

Differentiation is the base of Calculus. Explore the concepts, methods, and applications of differentiation. Understand the theoretical basis and solve problems by applying your knowledge and skills with highly experienced, Enthusiastic teachers.

Age group: 15-19

This course Includes

16 live tutoring sessions

Access on mobile and web

Certificate of completion

Hands-on Exercises & Practical Projects

Personalized Feedback & Coaching

Session Recordings for Rewatching

Typical Price

30-Day Money-Back Guarantee

Content

Pre-Calculus Review - Lines - Functions and Graphs - Exponential Functions - Parametric Equations - Functions and Logarithms - Trigonometric Functions - Pre-Calculus : Assignment Limits & Continuity - Introduction to Limits and Continuity - Rate of Change - Limits, and the Squeeze Theorem - Limits Involving Infinity and Vertical and Horizontal Asymptotes - Continuous Functions - The Intermediate Value Theorem - Slope, Tangent Line, and Normal Line - Limits & Continuity : Assignment Derivatives - Introduction to Derivatives - Derivatives of Functions - Derivatives and Continuity - Differentiation Rules - Application of Derivatives - Differentiating Trigonometric Functions - Derivatives : Assignment More Derivatives - Introduction to More Derivatives - Differentiating Functions Using the Chain Rule - Differentiating Functions Using Implicit Differentiation - Differentiating Functions Containing Inverse Functions - Differentiation of Inverse Trigonometric Functions - Differentiating Exponential and Logarithmic Functions - More Derivatives : Assignment Applications of Derivatives - Introduction to Applications of Derivatives - Relative and Absolute Extrema - The Mean Value Theorem - The First and Second Derivative Tests - Application Problem-Solving - Newton's Method - Linearization, and Differentials - Application of Implicit Differentiation - Applications of Derivatives : Assignment

Prerequisites

Should have studied algebra, geometry, trigonometry, analytic geometry, and elementary functions
Should understand the properties of linear, polynomial, rational, exponential, logarithmic, trigonometric, and inverse trigonometric functions

Objectives

Explore the Mean Value Theorem and Rolle's Theorem to understand the behavior of differentiable functions and their applications in proving the existence of solutions.
Apply differentiation techniques to determine the concavity, points of inflection, and local extrema of functions.
Analyze and solve real-world problems involving rates of change, including related rates and motion along a line.
Develop a deep understanding of implicit differentiation and its use in finding the derivatives of functions defined implicitly.
Master the application of the chain rule, product rule, and quotient rule to differentiate complex functions involving multiple variables and nested functions.

Outcomes

You will learn how limits allow to solve the problems involving change
You will become skillful in computing the derivatives of complex expressions
You will be able to set-up and solve real-world problems using differentiation
You will learn to find the limits of indeterminant forms
You will get the better understanding of functions by plotting their graphs

Why learn with Enthuziastic?

Here's why more and more people are joining Enthuziastic

Personalized Lessons

Customize your lessons to meet your individual goals.

Expert Teachers

Top rated teachers to guide you through the learning process.

Flexible Timings

Attend classes anytime, anywhere. Make your own schedule.

Easy Rescheduling

Manage holidays or conflicting appointments easily by rescheduling classes.

Complete Support

A compassionate support team to listen to your needs.

Homework & Assignments

Reinforce your learning with practical homework and hands-on assignments.

Completion Certificate

You will get a certificate for the completion of the course.

Group Discussion & Peer Learning

Collaborate with peers through discussions and shared learning experiences.

Access to Alumni Community

Join a vibrant alumni network for support, insights, and continued learning.

Post-Course Support & Career Guidance

Get expert support and career advice even after the course ends.

How it works?

Enroll

Enroll for the course of your liking by selecting 1:1 or group classes. Choose the type of instructor you want to learn with.

Schedule

Download Enthu app and schedule classes for the day and time that works best for you. You own your learning schedule.

Learn

Join classes on Zoom and start learning with lessons customized for you. Make most of our student success program.

Value Proposition

We offer a diverse range of interactive classes, ensuring accessible and personalized education for everyone, anytime, anywhere.

Carefully Curated Expert Instructors

All courses are taught by our expert instructors who are carefully chosen with a rigorous < 1% acceptance rate. For every 100 tutors interviewed, only 1 is chosen, ensuring you get the best.

Engaging and Interactive Classes

Each session is designed to be dynamic and captivating, ensuring the learner stays excited and engaged throughout.

Progress Reports

Our team works hard behind the scenes to create and maintain a meticulously detailed progress report for each learner as they progress through the sessions.

Session Recordings

The recordings of each session are automatically available in the app after 24 hours of each session, they are extremely helpful for revisions.

Certificates

Some rewards are necessary for motivating learners and Enthuziastic awards dedicated learners with official certificate of completion and if they win in any of our regular competitions, they are awarded the respective winners certificates.

Feedback and Assignments

Parents/Learners provide us regular feedback after every session through a formal submission in the app, this helps us customize the learning path after every session according to how the learners are responding to the tutoring.

Chat Communication

Connect with instructors and peer learners directly via our app's dedicated chat group for every batch fostering a community experience while learning together.

24/7 Support

We take great pride in our service delivery. We're here for you round the clock to address any questions or concerns.

Quality & Affordability

The entire Enthuziastic team strives hard to bring you high quality learning at affordable prices. Because of the support of learners like yourself, we continue to grow our offerings and keep making them more and more affordable.

Personal Family Buddy

You will be assigned a personal family buddy, whom you can continuously stay in touch through and beyond your learners learning journey. Whatever your needs are you can always reach out to your Family Buddy/Student Success Manager whose only job is to make your learning journey successful.

Carefully Curated Expert Instructors

All courses are taught by our expert instructors who are carefully chosen with a rigorous < 1% acceptance rate. For every 100 tutors interviewed, only 1 is chosen, ensuring you get the best.

Engaging and Interactive Classes

Each session is designed to be dynamic and captivating, ensuring the learner stays excited and engaged throughout.

Progress Reports

Our team works hard behind the scenes to create and maintain a meticulously detailed progress report for each learner as they progress through the sessions.

Session Recordings

The recordings of each session are automatically available in the app after 24 hours of each session, they are extremely helpful for revisions.

Certificates

Feedback and Assignments

Chat Communication

Connect with instructors and peer learners directly via our app's dedicated chat group for every batch fostering a community experience while learning together.

24/7 Support

We take great pride in our service delivery. We're here for you round the clock to address any questions or concerns.

Quality & Affordability

Personal Family Buddy

Do you have any questions?

Fill this form and we will respond back, on priority.

This course Includes

16 live tutoring sessions

Access on mobile and web

Certificate of completion

Hands-on Exercises & Practical Projects

Personalized Feedback & Coaching

Session Recordings for Rewatching

Typical Price

30-Day Money-Back Guarantee

Courses

AP (Advanced Placement) Calculus AB : Differentiation

Age group: 15-19

This course Includes

16 live tutoring sessions

Access on mobile and web

Certificate of completion

Hands-on Exercises & Practical Projects

Personalized Feedback & Coaching

Session Recordings for Rewatching

Typical Price

30-Day Money-Back Guarantee

Content

Prerequisites

Should have studied algebra, geometry, trigonometry, analytic geometry, and elementary functions
Should understand the properties of linear, polynomial, rational, exponential, logarithmic, trigonometric, and inverse trigonometric functions

Objectives

Explore the Mean Value Theorem and Rolle's Theorem to understand the behavior of differentiable functions and their applications in proving the existence of solutions.
Apply differentiation techniques to determine the concavity, points of inflection, and local extrema of functions.
Analyze and solve real-world problems involving rates of change, including related rates and motion along a line.
Develop a deep understanding of implicit differentiation and its use in finding the derivatives of functions defined implicitly.
Master the application of the chain rule, product rule, and quotient rule to differentiate complex functions involving multiple variables and nested functions.

Outcomes

You will learn how limits allow to solve the problems involving change
You will become skillful in computing the derivatives of complex expressions
You will be able to set-up and solve real-world problems using differentiation
You will learn to find the limits of indeterminant forms
You will get the better understanding of functions by plotting their graphs

Why learn with Enthuziastic?

Here's why more and more people are joining Enthuziastic

Personalized Lessons

Customize your lessons to meet your individual goals.

Expert Teachers

Top rated teachers to guide you through the learning process.

Flexible Timings

Attend classes anytime, anywhere. Make your own schedule.

Easy Rescheduling

Manage holidays or conflicting appointments easily by rescheduling classes.

Complete Support

A compassionate support team to listen to your needs.

Homework & Assignments

Reinforce your learning with practical homework and hands-on assignments.

Completion Certificate

You will get a certificate for the completion of the course.

Group Discussion & Peer Learning

Collaborate with peers through discussions and shared learning experiences.

Access to Alumni Community

Join a vibrant alumni network for support, insights, and continued learning.

Post-Course Support & Career Guidance

Get expert support and career advice even after the course ends.

How it works?

Enroll

Enroll for the course of your liking by selecting 1:1 or group classes. Choose the type of instructor you want to learn with.

Schedule

Download Enthu app and schedule classes for the day and time that works best for you. You own your learning schedule.

Learn

Join classes on Zoom and start learning with lessons customized for you. Make most of our student success program.

Value Proposition

We offer a diverse range of interactive classes, ensuring accessible and personalized education for everyone, anytime, anywhere.

Carefully Curated Expert Instructors

All courses are taught by our expert instructors who are carefully chosen with a rigorous < 1% acceptance rate. For every 100 tutors interviewed, only 1 is chosen, ensuring you get the best.

Engaging and Interactive Classes

Each session is designed to be dynamic and captivating, ensuring the learner stays excited and engaged throughout.

Progress Reports

Our team works hard behind the scenes to create and maintain a meticulously detailed progress report for each learner as they progress through the sessions.

Session Recordings

The recordings of each session are automatically available in the app after 24 hours of each session, they are extremely helpful for revisions.

Certificates

Feedback and Assignments

Chat Communication

Connect with instructors and peer learners directly via our app's dedicated chat group for every batch fostering a community experience while learning together.

24/7 Support

We take great pride in our service delivery. We're here for you round the clock to address any questions or concerns.

Quality & Affordability

Personal Family Buddy

Carefully Curated Expert Instructors

All courses are taught by our expert instructors who are carefully chosen with a rigorous < 1% acceptance rate. For every 100 tutors interviewed, only 1 is chosen, ensuring you get the best.

Engaging and Interactive Classes

Each session is designed to be dynamic and captivating, ensuring the learner stays excited and engaged throughout.

Progress Reports

Our team works hard behind the scenes to create and maintain a meticulously detailed progress report for each learner as they progress through the sessions.

Session Recordings

The recordings of each session are automatically available in the app after 24 hours of each session, they are extremely helpful for revisions.

Certificates

Feedback and Assignments

Chat Communication

Connect with instructors and peer learners directly via our app's dedicated chat group for every batch fostering a community experience while learning together.

24/7 Support

We take great pride in our service delivery. We're here for you round the clock to address any questions or concerns.

Quality & Affordability

Personal Family Buddy