Solve 4*a*3*a

$$4 \times a \times 3 \times a$$

Evaluate

$$12a^{2}$$

Solution Steps

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

$$4a^{2}\times 3$$

Multiply 4 and 3 to get 12.

$$12a^{2}$$

Differentiate w.r.t. a

$$24a$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(4a^{2}\times 3)$$

Multiply 4 and 3 to get 12.

$$\frac{\mathrm{d}}{\mathrm{d}a}(12a^{2})$$

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

$$2\times 12a^{2-1}$$

Multiply 2 times 12.

$$24a^{2-1}$$

Subtract 1 from 2.

$$24a^{1}$$

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

$$24a$$