Solve -6u(-5u^4)

$$- 6 u ( - 5 u ^ { 4 } )$$

Evaluate

$$30u^{5}$$

Solution Steps

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

$$-6u^{5}\left(-5\right)$$

Multiply -6 and -5 to get 30.

$$30u^{5}$$

Differentiate w.r.t. u

$$150u^{4}$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}u}(-6u^{5}\left(-5\right))$$

Multiply -6 and -5 to get 30.

$$\frac{\mathrm{d}}{\mathrm{d}u}(30u^{5})$$

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

$$5\times 30u^{5-1}$$

Multiply 5 times 30.

$$150u^{5-1}$$

Subtract 1 from 5.

$$150u^{4}$$