Solve (-x^-2)(-7x)

$$( - x ^ { - 2 } ) ( - 7 x )$$

Evaluate

$$\frac{7}{x}$$

Solution Steps

Multiply -1 and -7 to get 7.

$$7x^{-2}x$$

To multiply powers of the same base, add their exponents. Add -2 and 1 to get -1.

$$7x^{-1}$$

Differentiate w.r.t. x

$$-\frac{7}{x^{2}}$$

Steps Using Definition of a Derivative

Multiply -1 and -7 to get 7.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x^{-2}x)$$

To multiply powers of the same base, add their exponents. Add -2 and 1 to get -1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x^{-1})$$

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

$$-7x^{-1-1}$$

Subtract 1 from -1.

$$-7x^{-2}$$