Question

Suppose f(1)=3 , f'(1)=2 , g(2)=2 , g'(2)=6 , h(x)=g(2x) , and F(x)=(f(x)/g(2x)) .

Answer 1

Whats the question?

Answer 2

what are we looking for?

Answer 3

Oh sorry! I need to find h'(1) then F'(1)

Answer 4

h(x) = g(2x)

So, h'(x) = 2 g(2x)

Therefore, by substitution,
h'(1) = 2 g(2)
= 2(2) = 4.

Answer 5

for F'(1), take the derivative using the quotient rule, and the same idea as before.