anonymous
  • anonymous
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://www.flickr.com/photos/57417292@N03/6212910338/in/photostream http://www.flickr.com/photos/57417292@N03/6212910354/in/photostream These two are the graphs
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
I tried everything but could seem to find the right answer
anonymous
  • anonymous
Did you try google?
anonymous
  • anonymous
yeah I couldnt find help there either, have no clue

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anonymous
  • anonymous
Remember that the derivative is the slope of a line.
anonymous
  • anonymous
Hmmm
anonymous
  • anonymous
yes I've tried that too and I believe the slope of the line is equal to the slope of the tangent line too
anonymous
  • anonymous
and the slope of the tangent line equals the derivative
anonymous
  • anonymous
however I keep getting the wrong answer
anonymous
  • anonymous
That's so weird O.o
anonymous
  • anonymous
What answers are you getting?
anonymous
  • anonymous
Do they want you to get the derivative at certain points or what?
anonymous
  • anonymous
I got 2/3 for prime but whats the te value of g(1)
anonymous
  • anonymous
they want k(1)
anonymous
  • anonymous
They want g(1) and k(1)? They don't want the derivative?
anonymous
  • anonymous
they want k(1) and k is equal to f(x)/g(x) I got slope 2/3 for f(x)
anonymous
  • anonymous
and F'(1) is zero because thats where u have an x intercept
anonymous
  • anonymous
and the equation simplifies to f(x)g(x)
anonymous
  • anonymous
over g(x)^2
anonymous
  • anonymous
Okay, so what are the graphs you posted?
anonymous
  • anonymous
those are the functions of f(x) and g(x) they are the functions
anonymous
  • anonymous
So since f(1) = 1 and g(1) = 1.25, k(1) = 1 / 1.25
anonymous
  • anonymous
f'(1) = 2/3 since it rises 2 and runs 3 when x is 1
anonymous
  • anonymous
I don't see what's hard about this
anonymous
  • anonymous
How is g(1) = 1.25 when its not given
anonymous
  • anonymous
Well, from the left side you can see the slope is -2, so it has to hit at the half way point
anonymous
  • anonymous
Then it goes through the origin
anonymous
  • anonymous
So it is rising 2/1.5
anonymous
  • anonymous
4/3
anonymous
  • anonymous
thank you sooo much!! god blesss u !!! may u live happily ever after!!

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