Solve -2(-2x^-2)+-2x^-2

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

Evaluate

$$\frac{2}{x^{2}}$$

Solution Steps

Multiply -2 and -2 to get 4.

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

Combine 4x^{-2} and -2x^{-2} to get 2x^{-2}.

$$2x^{-2}$$

Differentiate w.r.t. x

$$-\frac{4}{x^{3}}$$

Steps Using Definition of a Derivative

Multiply -2 and -2 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{-2}-2x^{-2})$$

Combine 4x^{-2} and -2x^{-2} to get 2x^{-2}.

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

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

$$-2\times 2x^{-2-1}$$

Multiply -2 times 2.

$$-4x^{-2-1}$$

Subtract 1 from -2.

$$-4x^{-3}$$