Calculus 1 Derivatives of Math Functions Review Course

This calculus 1 derivatives course focuses on differentiating functions.  It explains how to find the derivatives of functions that you will typically encounter in your first semester calculus.  This course is for university students taking college calculus and high school students who are taking AP Calculus AB.

Here is a list of topics:

1.  Derivatives of Constants – Examples Include Integers and special constants such as e and pi

2.  The Power Rule and Constant Multiple Rule – Variables Raised To a Constant

3.  Derivatives of Rational Functions –

4.  Derivatives of Square Root and Radical Functions

5.  How to Differentiate Polynomial Functions Using The Sum and Difference Rule

6.  Derivatives of Trigonometric Functions – sin, cos, tan, sec, cot, csc

7.  Average Rate of Change vs Instantaneous Rate of Change

8.  Writing Equations of the Tangent Line

9.  Limit Definition of the Derivative Process

10.  Alternative Form of Limit Definition of Derivative 

11.  Derivatives of Exponential Functions – Constants Raised To a Variable

12.  Derivatives of Natural Log Functions – Ln x

13.  Differentiation of Logarithmic Functions

14.  The Product rule and Quotient Rule – Multiplication and Division

15.  The Chain Rule – Plenty of Examples – Differentiating functions within functions

16.  Implicit Differentiation – Derivatives of Expressions With Multiple Variables such as x and y

17.  Derivatives of Inverse Trigonometric Functions

18.  Logarithmic Differentiation

19.  Free Response Video Quiz

Rating Distribution

• 1 stars: 0 votes
• 2 stars: 2 votes
• 3 stars: 3 votes
• 4 stars: 17 votes
• 5 stars: 51 votes

Frequently Asked Questions

How long do I have access to the course materials?

You can view and review the lecture materials indefinitely, like an on-demand channel.

Can I take my courses with me wherever I go?

Definitely! If you have an internet connection, courses on Udemy are available on any device at any time. If you don’t have an internet connection, some instructors also let their students download course lectures. That’s up to the instructor though, so make sure you get on their good side!