Solve -6u^7*4u^2

$$- 6 u ^ { 7 } \cdot 4 u ^ { 2 }$$

Evaluate

$$-24u^{9}$$

Solution Steps

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

$$-6u^{9}\times 4$$

Multiply -6 and 4 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 7 and 2 to get 9.

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

Multiply -6 and 4 to get -24.

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

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

$$9\left(-24\right)u^{9-1}$$

Multiply 9 times -24.

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

Subtract 1 from 9.

$$-216u^{8}$$