Solve sqrt{p}sqrt{p}

$$\sqrt { p } \sqrt { p }$$

Evaluate

$$p$$

Solution Steps

Multiply \sqrt{p} and \sqrt{p} to get \left(\sqrt{p}\right)^{2}.

$$\left(\sqrt{p}\right)^{2}$$

Calculate \sqrt{p} to the power of 2 and get p.

$$p$$

Differentiate w.r.t. p

$$1$$

Steps Using Definition of a Derivative

Multiply \sqrt{p} and \sqrt{p} to get \left(\sqrt{p}\right)^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}p}(\left(\sqrt{p}\right)^{2})$$

Calculate \sqrt{p} to the power of 2 and get p.

$$\frac{\mathrm{d}}{\mathrm{d}p}(p)$$

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

$$p^{1-1}$$

Subtract 1 from 1.

$$p^{0}$$

For any term t except 0, t^{0}=1.

$$1$$