Question

Derivative of 1/rootx?

Answer 1

Let f(x)=1√x, then y=1uandu=x12, since √x=x12.

Simplifying further, we have that y=uandu=x−12

The chain rule states dydx=dydu×dudx

This means we have to differentiate both functions and multiply them. Let's start with y.

By the power rule y'=1×u0=1.

Now for u:

Once again by the power rule we get:

u'=−12×x−12−1

u'=−12x−32

u'=−12√x3

f'(x)=y'×u'

f'(x)=1×−12√x3

f'(x)=−12√x3

Hopefully this helps!

pls mark it brainliest and my prevous answer too