SlytherinPrincess8 SlytherinPrincess8

Today at 4:26 AM
Mathematics

Answered

The graph below shows graph of f (x), its derivative f '(x), and its second derivative f "(x). Which of the following is the correct statement?
A is f ', B is f, C is f ".
A is f ", B is f, C is f '.
A is f ', B is f ". C is f.
A is f, B is f ', C is f ".
I believe B is the original, C the first derivative, and A is the second derivative. Can someone please confirm this for me? Thank you!

The graph below shows graph of f (x), its derivative f '(x), and its second derivative f

Answer :

MathPhys MathPhys

Today at 4:31 AM

Answer:

A is f ", B is f, C is f '.

Step-by-step explanation:

Your answer is correct. B is the original function f. It has a local maximum at x=0, and local minimums at approximately x=-3/2 and x=3/2.

C is the first derivative. It crosses the x-axis at each place where B is a min or max. C itself has a local maximum at approximately x=-3/4 and a local minimum at approximately x=3/4.

Finally, A is the second derivative. It crosses the x-axis at each place where C is a min or max.

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