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Calculus 1- Teach Yourself Differentiation

Name: Calculus 1- Teach Yourself Differentiation
Rating: 4.8 (31 reviews)

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

Created byRuchi Chhabra

Last updated 5/2022

English

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

Course content

12 sections • 54 lectures • 8h 11m total length

About Course2:29
Master differentiation from scratch with step-by-step video lectures and abundant practice questions and quizzes, covering quotient and other rules, exponential, logarithmic, implicit and parametric differentiation, hyperbolic functions, and higher-order derivatives.
Introduction1:24
Content in the Video Lectures0:22

Power Rule14:00
Master the power rule for differentiation: compute derivatives of a x^n as a n x^{n-1}, handle constants as zero, and apply the sum and difference rules to combine multiple terms.
Practice Problems Part 18:39
Practice Problems Part 25:51
Power Rule
Product Rule13:10
Learn the product rule for differentiating the product of two or more functions, using f g' + f' g, and extend the rule to three-function products.
Product Rule
Quotient Rule6:09
Quotient Rule
Chain Rule10:29
Chain Rule

Derivatives of Trigonometric Functions8:10
Derivatives of Trigonometric functions
Product Rule with Trigonometric Functions11:24
Product Rule with Trigonometric Functions
Quotient Rule with Trigonometric Functions13:27
Quotient Rule with Trigonometric Functions
Chain Rule with Trigonometric Functions Part 110:48
Chain Rule with Trigonometric Functions Part 210:00
Chain Rule with Trigonometric Functions Part 39:44
Chain Rule with Trigonometric Functions

Exponential Derivatives13:03
Exponential Derivatives
Chain Rule for Exponential Functions13:54
Chain Rule for Exponential Functions
Derivatives of Exponential functions involving Trig Functions11:37
Master derivatives of exponential functions with trig arguments by applying product and chain rules, including multiple-function and three-function product cases.
Derivatives of Exponential functions involving Trig Functions

Derivatives of Log functions Part 18:50
Derivatives of Log functions Part 29:34
Derivatives of Logarithmic functions
Derivatives of Log functions Part 36:27
Lecture 2 Derivatives of Logarithmic functions
Problems involving Logarithmic and Trig functions part 18:30
Problems involving Logarithmic and Trig functions part 26:50
Differentiating products involving exponential, logarithmic, and trigonometric functions, this part 2 lecture applies the product rule and chain rule with trig identities to simplify results.
Problems involving Logarithmic and Trig functions part 35:23
Problems involving Logarithmic and Trig functions

Derivatives of Hyperbolic Trig functions part 16:33
Explore derivatives of hyperbolic trig functions, highlighting how hyperbolic cosine and sine derivatives differ, and apply the chain rule to hyperbolic functions and their composites.
Derivatives of Hyperbolic Trig functions part 27:12
Derivatives of Hyperbolic Trig functions
Derivatives of Hyperbolic Trig functions part 38:50
Learn to differentiate inverse hyperbolic trig functions by applying the chain rule, product rule, and memorized formulas. Work through examples to solidify understanding.
Derivatives of Inverse Hyperbolic Trig functions

Differentiation of Implicit functions Part 111:07
Differentiation of Implicit functions Part 26:25
Differentiation of Implicit functions
Differentiation of Implicit functions involving Trig functions-115:31
Learn implicit differentiation of functions in x and y, applying chain rule, and product and quotient rules to find dy/dx in equations like x^2+y^2=2 and cases with trig functions.
Differentiation of Implicit functions involving Trig functions-210:08
Implicit differentiation involving Trig Functions

Logarithmic Differentiation Part 113:01
Logarithmic Differentiation Part 27:03
Logarithmic Differentiation Part 1,2
Logarithmic Differentiation Part 313:20
Logarithmic Differentiation Part 47:50
Learn to differentiate using logarithmic differentiation and implicit differentiation, apply derivatives of log x, and prove y' = y/x while solving problems with natural logs.
Logarithmic Differentiation Part 3,4
Logarithmic Differentiation involving Trig functions Part 59:56
Logarithmic Differentiation involving Trig functions Part 5
Logarithmic Differentiation Part 69:10
Logarithmic Differentiation Part 710:59
Learn to apply logarithmic differentiation to differentiate complex functions composed of products, quotients, and multiple parts, making difficult problems straightforward and faster.
Logarithmic Differentiation Part 6,7

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 students 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! :)

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

Calculus 1- Teach Yourself Differentiation

What you'll learn

Explore related topics

Course content

Introduction3 lectures • 4min

Fundamental Rules for Differentiation6 lectures • 58min

Differentiation of Trigonometric Functions6 lectures • 1hr 4min

Differentiation of Exponential Functions3 lectures • 39min

Differentiation of Logarithmic Functions6 lectures • 46min

Revision Section on Chain Rule4 lectures • 36min

Differentiation of inverse Trig Function2 lectures • 19min

Differentiation of Hyperbolic Trig Functions3 lectures • 23min

Differentiation of Implicit Functions4 lectures • 43min

Logarithmic Differentiation7 lectures • 1hr 11min

Requirements

Description

Who this course is for: