Solve rquadsqrt{100}

$$r \quad \sqrt { 100 }$$

Differentiate w.r.t. r

$$10$$

Steps Using Definition of a Derivative

Calculate the square root of 100 and get 10.

$$\frac{\mathrm{d}}{\mathrm{d}r}(r\times 10)$$

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

$$10r^{1-1}$$

Subtract 1 from 1.

$$10r^{0}$$

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

$$10\times 1$$

For any term t, t\times 1=t and 1t=t.

$$10$$

Evaluate

$$10r$$

Solution Steps

Calculate the square root of 100 and get 10.

$$r\times 10$$