### Chapter 3 Test # 2

Differentiate:

y = e^cos(3x)

Solution: Remember to use the CHAIN RULE!

1) Differentiate the outside function.

e^cos3x

2) Multiple solution from #1 by the derivative of the inside function.

(e^cos3x)(-sin3x)

3) We must also use Chain Rule for -sin3x. So....

(e^cos3x)(-sin3x)(3)

4) So...

y' = -3(e^(cos3x)) * sin(3x)

## 0 Comments:

Post a Comment

## Links to this post:

Create a Link

<< Home