Solve -2x(-4)^2

$$- 2 x ( - 4 ) ^ { 2 }$$

Evaluate

$$-32x$$

Solution Steps

Calculate -4 to the power of 2 and get 16.

$$-2x\times 16$$

Multiply -2 and 16 to get -32.

$$-32x$$

Differentiate w.r.t. x

$$-32$$

Steps Using Definition of a Derivative

Calculate -4 to the power of 2 and get 16.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-2x\times 16)$$

Multiply -2 and 16 to get -32.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-32x)$$

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

$$-32x^{1-1}$$

Subtract 1 from 1.

$$-32x^{0}$$

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

$$-32$$