Solve (2a)(4a)

$$( 2 a ) ( 4 a )$$

Evaluate

$$8a^{2}$$

Solution Steps

Multiply a and a to get a^{2}.

$$2a^{2}\times 4$$

Multiply 2 and 4 to get 8.

$$8a^{2}$$

Differentiate w.r.t. a

$$16a$$

Steps Using Definition of a Derivative

Multiply a and a to get a^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}a}(2a^{2}\times 4)$$

Multiply 2 and 4 to get 8.

$$\frac{\mathrm{d}}{\mathrm{d}a}(8a^{2})$$

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

$$2\times 8a^{2-1}$$

Multiply 2 times 8.

$$16a^{2-1}$$

Subtract 1 from 2.

$$16a^{1}$$

For any term t, t^{1}=t.

$$16a$$