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# Computing Derivatives

# Thinking Backwards Exercises

### Example 1

Determine a function whose derivative is

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

### Example 2

Determine a function whose derivative is

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

### Example 3

Determine a function whose derivative is

- cos(
*x*+ 4)

### Example 4

Determine a function whose derivative is

### Example 5

Determine a function whose derivative is

- -6sin(6
*x*)