Second Derivative Test
Last updated
Last updated
Solve:
f'(c) = 0 means c is a critical point, could be max, min, inflection.
f''(c) < 0 means around point c it's a Downward Concave.
Conclusion then is that c is a maximum point.
f'(c) = 0 means c is a critical point, could be max, min, inflection.
f''(c) = 0 means it's either a Concave up or down, we don't know yet.
So the answer is "No enough information to tell."
It's Concave Down when f''(x) < 0
Find formula of f''(x) and set inequality equation f''(x)<0 and solve to get x > 2.
Solve:
Solve:
