One second, i am trying to attach the pictures of the problem

Question

anonymous · Answer

tag me when u get it

anonymous · Answer

http://imgur.com/pZZAS is the problem http://imgur.com/sSsvL is the solution I just need it explained better.

amistre64 · Answer

use the product rule for one and the quotient rule for the other

amistre64 · Answer

since a derivative measures the slope at a point; the derivative of a line is the same at every point .... so the derivatives individually are the slope at the given ... thing

anonymous · Answer

so, what are they doing with the graph?

amistre64 · Answer

the graph are of lines; so you can determine the derivative of f and g individually by taking the slope of the line at the point

anonymous · Answer

what point?

amistre64 · Answer

the derivative of y=mx+b  is simply ... m

anonymous · Answer

yes, i know that

anonymous · Answer

I am sorry if i am asking stupid questions, but this problem just has gotten me flustered

amistre64 · Answer

well, it says u'(1)  and v'(5)

so im gonna go out on a limb and say they want them when x=1 for the first part; and x=5 for the other part

amistre64 · Answer

first find u' and v' using the product rule and the quotient rule

amistre64 · Answer

u = fg

u' = f'g + fg'

u'(1) = f'(1) g(1)  +  f(1) g'(1)

amistre64 · Answer

the graph gives you all the pertinent information to fill those in

amistre64 · Answer

v = f/g

v' = (gf'-fg')/g^2

and use the point x=5 for that one

anonymous · Answer

when you say use point five, where would 5 go in that equation?

amistre64 · Answer

functions need not be defined as equation; the graphs they present define the functions; so you have to take this to a geometry mindset

amistre64 · Answer

when x=5; what value, from the graph, do f and g have?

what are the slopes of f and g when x=5?

amistre64 · Answer

same idea for the other part; but when x=1

anonymous · Answer

I will try and solve the problem, and if i get stuck again, i will post here

amistre64 · Answer

k

the info you need is:

f(5) = 
g(5) = 
f'(5) = slope of f at x=5 = 
g'(5) = slope of g at x=5 =  


f(1) = 
g(1) = 
f'(1) = slope of f at x=1 = 
g'(1) = slope of g at x=1 =  


then fill those into the derivative rules to determine the answers

anonymous · Answer

ok, thx