15. The following statements concerning the location of an extreme value of a twice-differentiable function, f, are all true. Which statement also includes the correct justification? (A) The function has a maximum at x=5 because f'(5)=0. (B) The function has a maximum at x=5 because f'(x)5. (C) The function has a minimum at x=3 because the tangent line at x=3 is horizontal. (D) The function has a minimum at x=3 because f'(x)3. (E) The function has a minimum at x=3 because f"(3)

Question

15. The following statements concerning the location of an extreme value of a twice-differentiable function, f, are all true. Which statement also includes the correct justification? (A) The function has a maximum at x=5 because f'(5)=0. (B) The function has a maximum at x=5 because f'(x)<0 for x<5 and f'(x)>0 for x>5. (C) The function has a minimum at x=3 because the tangent line at x=3 is horizontal. (D) The function has a minimum at x=3 because f'(x)<0 for x<3 and f'(x)>0 for x>3. (E) The function has a minimum at x=3 because f"(3)<0.

anonymous · Answer

@wio

anonymous · Answer

@experimentX

experimentx · Answer

A is not completely true .. it could be min, or saddle point.

experimentx · Answer

*point of inflexion

anonymous · Answer

okay, and?

experimentx · Answer

B is saying the same what A is saying in different way.

experimentx · Answer

C is saying also saying same thing ... except changing max to min

anonymous · Answer

but isn't C the answer?

experimentx · Answer

looks like none of them are true .. are you missing something?

anonymous · Answer

nope, just these 5 options

anonymous · Answer

they all aren't true because they could all be max's or min's..correct?

experimentx · Answer

lol ... it doesn't give complete information.

experimentx · Answer

Hold on ... looks like i misread something.

anonymous · Answer

oh okay

experimentx · Answer

A, C and E are saying the same thing.

experimentx · Answer

|dw:1362355576370:dw|