## Calculus

Chapter 4 - Calculating the Derivative

**Section 4.1 - Techniques for Finding the Derivative**In this section we learn a much quicker way to find the derivative of a function.

This first video is the rules and some examples applying the rules to find the derivative.

The second video is applying the definition of a derivative using the quick method.

The third video talks about some common ideas for story problems.

Answers to Day 1 # 1-30

Answers to Day 2 # 31-45 (there is a error in question #44, the answer should be 42, f'(x) shouldn't have the +3 at the end.)

Answers to Story Problems 4.1

**Section 4.2 - Derivatives of Products and Quotients**The first video of this section is the Product Rule with a basic example worked through.

This second video has a tougher example worked through dealing with the Product Rule.

This video gives a visualization of why the Product Rule is what it is. I found it helped explain the concept very well.

The second part of this section is the Quotient Rule. The first video is the formula and a basic example worked through.

This video is a tougher example using the Quotient Rule to find the derivative.

This video is a proof of the Quotient Rule. This is just if you are interested in where the formula comes from.

Answers to all of section 4.2

## Calculus Review 4.1 - 4.2 Answers

**Section 4.3 - Chain Rule**The Chain Rule is used to find the derivative of composite functions.

- Review of Composite Functions (4:32)

- The Chain Rule and some basic examples worked through. (5:26)

- A tougher example that needed to use the Product Rule with the Chain Rule. (5:41)

- Another tougher example that uses the Quotient Rule and the Chain Rule. (5:54)

Answers to section 4.3 *** there is an error on #26, it should be a "t cubed" ***

Answers to "Calculus Quiz Chain Rule Practice"

Answers to Story Problems

**Section 4.4 - Derivatives of Exponential Functions**This is the notes with examples to finding the derivatives of exponential functions.

Answers to Section 4.4

Review Worksheet

**Section 4.5 - Derivatives of Logarithms**This video has the formulas for finding the derivatives of logarithmic functions, along with some examples.

Answers to Section 4.5