Question

f is blue, g is red in graph:
http://www.flickr.com/photos/97191831@N07/9026974131/lightbox/
What would (g/f)'(5)=? I got .16 but I was told it was wrong.

Answer 1

http://www.flickr.com/photos/97191831 @N07/9026974131/lightbox/
try this

Answer 2

dammit.. like the whole amount

Answer 3

the @ command messes it up on here

Answer 4

This is how I solved for the derivative:

(g/f)' = (f g' - g f') / (f)²
(g/f)'(5) = f(5) g'(5) - g(5) f '(5) / (f(5))²

f '(5) = 0.5
g'(5) = 1

f(5) = (5) f '(5) + f(0) = 5(0.5) + 0 = 2.5
g(5) = (5 - 2) g '(5) + g(2) = 3(1) + 0 = 3

(g/f)'(5) = (f(5) g'(5) - g(5) f '(5)) / [f(5)]²
(g/f)'(5) = (2.5 (1) - (3)0.5) / (2.5)²
(g/f)'(5) = 0.16