Solve 3p*3p

$$3 p \times 3 p$$

Evaluate

$$9p^{2}$$

Solution Steps

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

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

Multiply 3 and 3 to get 9.

$$9p^{2}$$

Differentiate w.r.t. p

$$18p$$

Steps Using Definition of a Derivative

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

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

Multiply 3 and 3 to get 9.

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

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

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

Multiply 2 times 9.

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

Subtract 1 from 2.

$$18p^{1}$$

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

$$18p$$