Solve nsqrt[2]{9}

$$n \sqrt[ 2 ] { 9 }$$

Differentiate w.r.t. n

$$3$$

Steps Using Definition of a Derivative

Calculate \sqrt[2]{9} and get 3.

$$\frac{\mathrm{d}}{\mathrm{d}n}(n\times 3)$$

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

$$3n^{1-1}$$

Subtract 1 from 1.

$$3n^{0}$$

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

$$3\times 1$$

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

$$3$$

Evaluate

$$3n$$

Solution Steps

Calculate \sqrt[2]{9} and get 3.

$$n\times 3$$