Solve (-3h)(-2h^4)=

$$( - 3 h ) ( - 2 h ^ { 4 } ) =$$

Evaluate

$$6h^{5}$$

Solution Steps

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

$$-3h^{5}\left(-2\right)$$

Multiply -3 and -2 to get 6.

$$6h^{5}$$

Differentiate w.r.t. h

$$30h^{4}$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}h}(-3h^{5}\left(-2\right))$$

Multiply -3 and -2 to get 6.

$$\frac{\mathrm{d}}{\mathrm{d}h}(6h^{5})$$

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

$$5\times 6h^{5-1}$$

Multiply 5 times 6.

$$30h^{5-1}$$

Subtract 1 from 5.

$$30h^{4}$$