Solve sqrt{r}*sqrt{r}=

$$\sqrt { r } \times \sqrt { r } =$$

Evaluate

$$r$$

Solution Steps

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

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

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

$$r$$

Differentiate w.r.t. r

$$1$$

Steps Using Definition of a Derivative

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

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

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

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

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

$$r^{1-1}$$

Subtract 1 from 1.

$$r^{0}$$

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

$$1$$