Solve -2a^2*3a

$$- 2 a ^ { 2 } \times 3 a$$

Evaluate

$$-6a^{3}$$

Solution Steps

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

$$-2a^{3}\times 3$$

Multiply -2 and 3 to get -6.

$$-6a^{3}$$

Differentiate w.r.t. a

$$-18a^{2}$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(-2a^{3}\times 3)$$

Multiply -2 and 3 to get -6.

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

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

$$3\left(-6\right)a^{3-1}$$

Multiply 3 times -6.

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

Subtract 1 from 3.

$$-18a^{2}$$