Solve 4x*(3^2

$$4x \times ( { 3 }^{ 2 }$$

Evaluate

$$36x$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$4x\times 9$$

Multiply 4 and 9 to get 36.

$$36x$$

Differentiate w.r.t. x

$$36$$

Steps Using Definition of a Derivative

Calculate 3 to the power of 2 and get 9.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x\times 9)$$

Multiply 4 and 9 to get 36.

$$\frac{\mathrm{d}}{\mathrm{d}x}(36x)$$

The derivative of ax^{n} is nax^{n-1}.

$$36x^{1-1}$$

Subtract 1 from 1.

$$36x^{0}$$

For any term t except 0, t^{0}=1.

$$36\times 1$$

For any term t, t\times 1=t and 1t=t.

$$36$$