Solve frac{x^frac{1{2}}}{1/2}

$$\frac { x ^ { \frac { 1 } { 2 } } } { \frac { 1 } { 2 } }$$

Differentiate w.r.t. x

$$\frac{1}{\sqrt{x}}$$

Steps Using Definition of a Derivative

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

$$\frac{1}{2}\times 2x^{\frac{1}{2}-1}$$

Multiply \frac{1}{2} times 2.

$$x^{\frac{1}{2}-1}$$

Subtract 1 from \frac{1}{2}.

$$x^{-\frac{1}{2}}$$

Evaluate

$$2\sqrt{x}$$

Solution Steps

Divide x^{\frac{1}{2}} by \frac{1}{2} by multiplying x^{\frac{1}{2}} by the reciprocal of \frac{1}{2}.

$$x^{\frac{1}{2}}\times 2$$