Calculus 1- Teach Yourself Differentiation

Calculus 1- Teach Yourself Differentiation

Calculus 1- Teach Yourself Differentiation

Calculus 1 Course: A Self-Paced High-Quality Study Guide for Differentiation – Complete preparation with Tasks & Quizzes

Language: english

Note: 5.0/5 (14 notes) 1,649 students

Instructor(s): Ruchi Chhabra

Last update: 2022-04-28

What you’ll learn

  • The Power Rule
  • The Product Rule
  • The Quotient Rule
  • The Chain Rule
  • Differentiation of Trig Functions, Inverse Trig Function and Hyperbolic Trig Functions
  • Derivatives of Exponential Functions
  • Derivatives of Logarithmic Functions
  • Implicit Differentiation
  • Logarithmic Differentiation
  • Differentiation of Parametric Functions
  • Higher order Derivatives

 

Requirements

  • Basic Knowledge of Algebra, Functions, Exponential Functions, Logarithmic Functions, Trig Functions and Inverse Trig functions (if included in curriculum).

 

Description

Are you struggling to understand the topic Differentiation?

If you facing difficulty in solving Calculus questions and feel that you need to strengthen your basics in Differentiation, then this course is for you.

This course can make you perfect in writing the derivative of any given function.

It is a self-study course designed to get the student mastery over differentiation. It will teach you all the rules of differentiation step by step in small video lectures and give you command over differentiation in a few hours.

Note that this course only teaches how to find derivatives of a given function and not the Application of Derivatives.

There are separate lectures in each section on Trig functions and one can leave these lectures if not required in their curriculum.


This course covers

          -Power Rule

          -Product Rule

          -Quotient Rule

          -Chain Rule

          -Differentiation of Trig Functions & inverse Trig Function and Hyperbolic Trig Functions

          -Derivatives of Exponential Functions

          -Derivatives of Logarithmic Functions

          -Implicit Differentiation

          -Logarithmic Differentiation

          -Differentiation of Parametric Functions

          -Higher-Order Derivatives



Why study Differentiation?

Differentiation is the essence of Calculus which is a gateway to nearly all fields of higher Mathematics. The essential idea behind Differentiation is to see how a small change in one variable will change a related variable. You cannot do Engineering, Modern Science, Biology, Economics, Business Mathematics, Statistics, etc. without having command over Topic Differentiation. This course is going to help you build a sufficiently firm grounding in the basics of the Differentiation topics at your own time and space and enable you to pursue your learning or career goals.


With this course you’ll also get:

– Full lifetime access to the course

– Complete support for any question, clarification or difficulty you might face on the topic

– Udemy Certificate of Completion available for download

– 30-day money-back guarantee


Feel free to contact me with any questions or clarifications you might have.

I look forward to seeing you in the course! ­čÖé


 

Who this course is for

  • College students & High school students needed command on Differentiation.
  • Anyone who wants to learn Differentiation by self-study from scratch.
  • Anyone who wants to revise differentiation rules in a short time.
  • Students enrolled in Calculus 1, 2 or 3 or AP Calculus.
  • CBSE 12th class students
  • B. Com College students of Indian Universities who wants to learn/revise Differentiation

 

Course content

  • Introduction
    • About Course
    • Introduction
    • Content in the Video Lectures
  • Fundamental Rules for Differentiation
    • Power Rule
    • Practice Problems Part 1
    • Practice Problems Part 2
    • Power Rule
    • Product Rule
    • Product Rule
    • Quotient Rule
    • Quotient Rule
    • Chain Rule
    • Chain Rule
  • Differentiation of Trigonometric Functions
    • Derivatives of Trigonometric Functions
    • Derivatives of Trigonometric functions
    • Product Rule with Trigonometric Functions
    • Product Rule with Trigonometric Functions
    • Quotient Rule with Trigonometric Functions
    • Quotient Rule with Trigonometric Functions
    • Chain Rule with Trigonometric Functions Part 1
    • Chain Rule with Trigonometric Functions Part 2
    • Chain Rule with Trigonometric Functions Part 3
    • Chain Rule with Trigonometric Functions
  • Differentiation of Exponential Functions
    • Exponential Derivatives
    • Exponential Derivatives
    • Chain Rule for Exponential Functions
    • Chain Rule for Exponential Functions
    • Derivatives of Exponential functions involving Trig Functions
    • Derivatives of Exponential functions involving Trig Functions
  • Differentiation of Logarithmic Functions
    • Derivatives of Log functions Part 1
    • Derivatives of Log functions Part 2
    • Derivatives of Logarithmic functions
    • Derivatives of Log functions Part 3
    • Lecture 2 Derivatives of Logarithmic functions
    • Problems involving Logarithmic and Trig functions part 1
    • Problems involving Logarithmic and Trig functions part 2
    • Problems involving Logarithmic and Trig functions part 3
    • Problems involving Logarithmic and Trig functions
  • Revision Section on Chain Rule
    • Revision of Chain Rule Part 1
    • Revision of Chain Rule Part 2
    • Practice Problems Part 1
    • Practice Problems Part 2
    • Revision of Chain Rule
  • Differentiation of inverse Trig Function
    • Derivatives of Inverse Trig Functions Part 1
    • Derivatives of Inverse Trig Functions Part 2
    • Derivatives of Inverse Trig Functions
  • Differentiation of Hyperbolic Trig Functions
    • Derivatives of Hyperbolic Trig functions part 1
    • Derivatives of Hyperbolic Trig functions part 2
    • Derivatives of Hyperbolic Trig functions
    • Derivatives of Hyperbolic Trig functions part 3
    • Derivatives of Inverse Hyperbolic Trig functions
  • Differentiation of Implicit Functions
    • Differentiation of Implicit functions Part 1
    • Differentiation of Implicit functions Part 2
    • Differentiation of Implicit functions
    • Differentiation of Implicit functions involving Trig functions-1
    • Differentiation of Implicit functions involving Trig functions-2
    • Implicit differentiation involving Trig Functions
  • Logarithmic Differentiation
    • Logarithmic Differentiation Part 1
    • Logarithmic Differentiation Part 2
    • Logarithmic Differentiation Part 1,2
    • Logarithmic Differentiation Part 3
    • Logarithmic Differentiation Part 4
    • Logarithmic Differentiation Part 3,4
    • Logarithmic Differentiation involving Trig functions Part 5
    • Logarithmic Differentiation involving Trig functions Part 5
    • Logarithmic Differentiation Part 6
    • Logarithmic Differentiation Part 7
    • Logarithmic Differentiation Part 6,7
  • Differentiation of Parametric Functions
    • Differentiation of Parametric Functions Part 1
    • Differentiation of Parametric Functions Part 2
    • Differentiation of Parametric Functions
    • Differentiation of a function w. r. t. another function Part 1
    • Differentiation of a function w. r. t. another function Part 2
    • Differentiation of a function w. r. t. another function
  • Higher Order Derivatives
    • Higher Order Derivatives Part 1
    • Higher Order Derivatives Part 2
    • Higher Order Derivatives
    • Higher Order Derivatives Part 3
    • Higher Order Derivatives Part 4
    • Higher order derivatives
    • Higher Order Derivatives involving Trig Functions
    • Higher Order Derivatives involving Trig Functions
    • Second order derivatives with Parametric functions
    • Second order derivatives with Parametric functions

 

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