I don't understand where to begin with this calculus problem

Hello, I'm reviewing for my semester exam and I just can't seem to even place my finger on how I should approach this problem. I got it from a review packet provided by my professor. If you could explain the intuition behind the problem, it would be greatly appreciated

f'(2)=10 and h(x)=(fsqrt(x)) then h'(4) equals... The answer is 5/2 but I don't even understand what they're asking! Thanks!

Use chain rule

if h(x) = f(g(x)) then h ' (x) = g ' (x) f ' (g(x))

here g (x) = √x ==> g ' (x) = 1/2√x


h ' (x) = g ' (x) f ' (g(x)) = (1/2√x) f ' (√x)

plug x= 4

h ' (4) = (1/2√4) f ' (√4)

= (1/4)* f ' (2)

you know that f ' (2) = 10, so

h ' (4) = (1/4) * 10 = 10/4 = 5/2

Do you know what h'(4) means? If not, then I can't help you here -- there isn't enough space.