Solve 4x+4^2x

$$4 x + 4 ^ { 2 } x$$

Evaluate

$$20x$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$4x+16x$$

Combine 4x and 16x to get 20x.

$$20x$$

Differentiate w.r.t. x

$$20$$

Steps Using Definition of a Derivative

Calculate 4 to the power of 2 and get 16.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x+16x)$$

Combine 4x and 16x to get 20x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(20x)$$

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

$$20x^{1-1}$$

Subtract 1 from 1.

$$20x^{0}$$

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

$$20\times 1$$

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

$$20$$