# At a Glance - Thinking Backwards

The chain rule patterns also help us to think backwards, which will be useful for something called "integration by substitution".

#### Exercise 1

Determine a function whose derivative is

- -3sin
*x*(cos*x*)^{2}

#### Exercise 2

Determine a function whose derivative is

- 6(
*x*^{3}+ 2*x*+ 1)^{5}(3*x*^{2}+ 2)

#### Exercise 3

Determine a function whose derivative is

- cos(
*x*+ 4)

#### Exercise 4

Determine a function whose derivative is

#### Exercise 5

Determine a function whose derivative is

- -6sin(6
*x*)

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