# Derivative of a Constant Multiple of a Function Exercises

### Example 1

Find the derivative of the function.

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

### Example 2

What's the derivative of the following 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*) = 6*e*^{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}