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# 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) = 2f(x)

### Example 3

Find the derivative of the function.

• h(x) = 2g(x)

### Example 4

Find the derivative of the function.

• k(x) = 2h(x)

### Example 5

Find the derivative of the function.

• f(x) = 5x3

### 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) = 6ex

### 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) = 4x12