Question

d/dx(x^1/2)=?and proved that pls​

Answer 1

Step-by-step explanation:

d/dx x^1/2= 1/2x^1/2-1

=1/2x^-1/2

=1/2xroot2

write it in a note and then try to understand

hope it helps....

Answer 2

Answer:

$\large \dfrac{1}{2 \ \sqrt x}$

Step-by-step explanation:

Given :

$\large y=x^{1/2}$

We have to find d y / d x

Using power rule of differentiation we have

$\large x^n=nx^{n-1}$

Now put value in formula we get

$\large y=x^{1/2}\\\\\\\large \text{ \dfrac{d(x^{1/2})}{dx} }\\\\\\\large \dfrac{1}{2}x^{1/2-1} \\\\\\\large \dfrac{1}{2}x^{-1/2}\\\\\\\large \text{ \dfrac{1}{2 \ x^{1/2}} }\\\\\\\large \dfrac{1}{2 \ \sqrt x}$

Thus we get answer.