Differentiable functions.

Quote:

Originally Posted by Rumor

There's an annotation when it comes to differentiable functions that confuses me and I'm not sure what the difference is.

One is $f(x)={\sqrt(f(x)) }$ and the other is $f(x)=f{\sqrt(x) }$ .

I know how to find the derivative of the first, but how is the second one different, and how do you find its derivative?

I assume for the second you mean $f(\sqrt{x})$ .

If so, simply use the chain rule. Let $g(x) = \sqrt{x}, u(x) = f(g(x))$ , then:

$u'(x) = f'(g(x))\cdot g'(x)$