Solve 3a*3a

$$3 a \cdot 3 a$$

Evaluate

$$9a^{2}$$

Solution Steps

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

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

Multiply 3 and 3 to get 9.

$$9a^{2}$$

Differentiate w.r.t. a

$$18a$$

Steps Using Definition of a Derivative

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

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

Multiply 3 and 3 to get 9.

$$\frac{\mathrm{d}}{\mathrm{d}a}(9a^{2})$$

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

$$2\times 9a^{2-1}$$

Multiply 2 times 9.

$$18a^{2-1}$$

Subtract 1 from 2.

$$18a^{1}$$

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

$$18a$$