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

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

Differentiate w.r.t. x

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

Steps Using Definition of a Derivative

Combine x^{\frac{1}{2}} and x^{\frac{1}{2}} to get 2x^{\frac{1}{2}}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{\frac{1}{2}})$$

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

Combine x^{\frac{1}{2}} and x^{\frac{1}{2}} to get 2x^{\frac{1}{2}}.

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