Question

Y=√x find dy/dx pls show steps

Answer 1

This involves a quick application of the power rule, which is $f'(x)=nx^{n-1}$.

First, it is helpful to rewrite $f(x)=\sqrt{x}$ as $f(x)=x^{\frac{1}{2}}$. Remember that these are equivalent forms, but the latter is easier to use with the power rule.

We apply the power rule and simply:

$\frac{1}{2}(x)^{(\frac{-1}{2})}=\dfrac{1}{2x^{1/2}} = \dfrac{1}{2 \sqrt{x} }$