Solve V1/2:sqrt{2}

$$V \frac { 1 } { 2 } : \sqrt { 2 }$$

Evaluate

$$\frac{\sqrt{2}V}{4}$$

Solution Steps

Rationalize the denominator of \frac{V\times \frac{1}{2}}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$\frac{V\times \frac{1}{2}\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

The square of \sqrt{2} is 2.

$$\frac{V\times \frac{1}{2}\sqrt{2}}{2}$$

Divide V\times \frac{1}{2}\sqrt{2} by 2 to get V\times \frac{1}{4}\sqrt{2}.

$$V\times \frac{1}{4}\sqrt{2}$$

Differentiate w.r.t. V

$$\frac{\sqrt{2}}{4} = 0.3535533905932738$$