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# Computing Derivatives

# Derivative of a Constant Multiple of a Function Exercises

### Example 1

Find the derivative of the function.

*f*(*x*) =*x*

### Example 2

Find the derivative of the function.

*g*(*x*) = 2*f*(*x*)

### Example 3

Find the derivative of the function.

*h*(*x*) = 2*g*(*x*)

### Example 4

Find the derivative of the function.

*k*(*x*) = 2*h*(*x*)

### Example 5

Find the derivative of the function.

*f*(*x*) = 5*x*^{3}

### Example 6

Find the derivative of the function.

*f*(*x*) = 6cos*x*

### Example 7

Find the derivative of the function.

*f*(*x*) = 10sin*x*

### Example 8

Find the derivative of the function.

*g*(*x*) = 6e^{x}

### Example 9

Find the derivative of the function.

*g*(*x*) = 4 × 5^{x}

### Example 10

Find the derivative of the function.

### Example 11

Find the derivative of the function.

*h*(*x*) = 9*ln**x*

### Example 12

Find the derivative of the function.

### Example 13

Find the derivative of the function.

*h*(*x*) = 4*x*^{12}