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## thegameishere 3 years ago 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

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1. thegameishere

I tried everything but could seem to find the right answer

2. theredhead1617

Did you try google?

3. thegameishere

yeah I couldnt find help there either, have no clue

4. wio

Remember that the derivative is the slope of a line.

5. theredhead1617

Hmmm

6. thegameishere

yes I've tried that too and I believe the slope of the line is equal to the slope of the tangent line too

7. thegameishere

and the slope of the tangent line equals the derivative

8. thegameishere

however I keep getting the wrong answer

9. theredhead1617

That's so weird O.o

10. wio

What answers are you getting?

11. wio

Do they want you to get the derivative at certain points or what?

12. thegameishere

I got 2/3 for prime but whats the te value of g(1)

13. thegameishere

they want k(1)

14. wio

They want g(1) and k(1)? They don't want the derivative?

15. thegameishere

they want k(1) and k is equal to f(x)/g(x) I got slope 2/3 for f(x)

16. thegameishere

and F'(1) is zero because thats where u have an x intercept

17. thegameishere

and the equation simplifies to f(x)g(x)

18. thegameishere

over g(x)^2

19. wio

Okay, so what are the graphs you posted?

20. thegameishere

those are the functions of f(x) and g(x) they are the functions

21. wio

So since f(1) = 1 and g(1) = 1.25, k(1) = 1 / 1.25

22. wio

f'(1) = 2/3 since it rises 2 and runs 3 when x is 1

23. wio

I don't see what's hard about this

24. thegameishere

How is g(1) = 1.25 when its not given

25. wio

Well, from the left side you can see the slope is -2, so it has to hit at the half way point

26. wio

Then it goes through the origin

27. wio

So it is rising 2/1.5

28. wio

4/3

29. thegameishere

thank you sooo much!! god blesss u !!! may u live happily ever after!!

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