Solve -4u^2(-6u^7)

$$- 4 u ^ { 2 } ( - 6 u ^ { 7 } )$$

Evaluate

$$24u^{9}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 7 to get 9.

$$-4u^{9}\left(-6\right)$$

Multiply -4 and -6 to get 24.

$$24u^{9}$$

Differentiate w.r.t. u

$$216u^{8}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 2 and 7 to get 9.

$$\frac{\mathrm{d}}{\mathrm{d}u}(-4u^{9}\left(-6\right))$$

Multiply -4 and -6 to get 24.

$$\frac{\mathrm{d}}{\mathrm{d}u}(24u^{9})$$

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

$$9\times 24u^{9-1}$$

Multiply 9 times 24.

$$216u^{9-1}$$

Subtract 1 from 9.

$$216u^{8}$$