Solve -4x^-4*-3x^-1

$$- 4 x ^ { - 4 } \cdot - 3 x ^ { - 1 }$$

Evaluate

$$\frac{12}{x^{5}}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -4 and -1 to get -5.

$$-4x^{-5}\left(-3\right)$$

Multiply -4 and -3 to get 12.

$$12x^{-5}$$

Differentiate w.r.t. x

$$-\frac{60}{x^{6}}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add -4 and -1 to get -5.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4x^{-5}\left(-3\right))$$

Multiply -4 and -3 to get 12.

$$\frac{\mathrm{d}}{\mathrm{d}x}(12x^{-5})$$

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

$$-5\times 12x^{-5-1}$$

Multiply -5 times 12.

$$-60x^{-5-1}$$

Subtract 1 from -5.

$$-60x^{-6}$$