Solve (-6a^2)*(-a)=

$$( - 6 a ^ { 2 } ) \cdot ( - a ) =$$

Evaluate

$$6a^{3}$$

Solution Steps

Multiply -6 and -1 to get 6.

$$6a^{2}a$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$6a^{3}$$

Differentiate w.r.t. a

$$18a^{2}$$

Steps Using Definition of a Derivative

Multiply -6 and -1 to get 6.

$$\frac{\mathrm{d}}{\mathrm{d}a}(6a^{2}a)$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}a}(6a^{3})$$

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

$$3\times 6a^{3-1}$$

Multiply 3 times 6.

$$18a^{3-1}$$

Subtract 1 from 3.

$$18a^{2}$$