Question

Help with Calculus? This is the table.
http://i198.photobucket.com/albums/aa84/ray51no/Cal_zpscd0b3373.png

And the question is: Let Z(x) = g(x^2 + f(x)). Compute Z'(1). Any explanation on how to do this is appreciated!

Answer 1

f(g(x))'=g'(x)*f'(g(x))
soo analogically

Z'(x)=(x^2+f(x))'*g'(x^2+f(x))
Z'(x)=(2x+f'(x))*g'(x^2+f(x))
z'(1)=(2+6)*g'(1+5)
z'(1)=8*4=32

Answer 2

There's an answer key that states the answer is supposed to be eight, which means all I have to do is know how to figure this out...

Answer 3

I must have done something wrong. Let me do that again.
(2x+f'(x)*g'(x^2+f(x)) x=1
(2+f'(1))*g'(1+f(1))= 8*g'(1+4)=8*1
okaay here it is ^^

Answer 4

Thank you so much!