How do the curves compare

Question

How do Curves A and B compare to each other with respect to f and f '?

 

1) The answer cannot be determined

2) f: Curve A, f ': Curve B, f ": Curve C

3) Neither Curve A or Curve B are derivatives of each other

4) f: Curve A, f ': Curve B

Answer 1

hi,

I left a comment for you, but I give you a key to compare any function and derivative of function.

1) in which interval function is increasing then exactly on this interval f' is above of x-axis

2) in which interval function is decreasing then exactly on this interval f' is under of x-axis

3) Recognize max and min points on the function and recognize the x of these points then these points are zeroes for f'.

By doing that you can find graph of function and graph of derivative of function.

Please try it then let me know if you have any question.

Minoo