Question

Let h(x)=f(x)⋅g(x), and k(x)=f(x)/g(x). Use the figures below to find the values of the indicated derivatives
http://img.photobucket.com/albums/v329/darkmare/6BXOEFIYK104-2397-setAssignment3prob20image2.png
http://img.photobucket.com/albums/v329/darkmare/6BXOEFIYK104-2397-setAssignment3prob20image1.png
red graph is f(x) and blue graph is f(g)
find h'(0) and k'(-2)

Answer 1

I have tried using the product and quotient rules but I get lost in what values to enter into them by looking at the graph

Answer 2

whoops, h(0)..

Answer 3

h=(f*g)' = f' *g +f *g'
f(0) = 0
f'(0) = 4/3
g(0) = ...
g'(0) = don't care, but it's probably 2/3

Answer 4

so 4/3*whatever g(0) might be...

Answer 5

you there?

Answer 6

yes i am just reading through your response

Answer 7

so really we cant pull a definitive answer for this question from the graph if we dont know the exact values of those?

Answer 8

all the values are exact except for g(0) which is open to interpretation. it's probably 2/3, but only your teacher knows for sure.

Answer 9

actually it is 2/3, if the value for slope is right...

Answer 10

which it most likely is...

Answer 11

thank you for your help, it is rather frustrating at times when you dont have exact values to work with

Answer 12

yeah, a bit.