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# Computing Derivatives

# Patterns Exercises

### Example 1

What is the derivative of e^{{x3 + 2x}}?

### Example 2

Find the derivative of the function.

- cos(
*x*^{5})

### Example 3

Find the derivative of the function.

- (cos
*x*)^{5}

### Example 4

Find the derivative of the function.

- e
^{{sin x}}

### Example 5

Find the derivative of the function.

- (5
*x*+ 6)^{5}

### Example 6

Find the derivative of the function.

*ln*(*x*^{2}+*x*)