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The following table gives values of the differentiable function y = f ( x ) . Es

ID: 2841273 • Letter: T

Question

The following table gives values of the differentiable function y=f(x).

Estimate the x-values of critical points of f(x) on the interval 0<x<10. Classify each critical point as a local maximum, local minimum, or neither.
(Enter your critical points as comma-separated xvalue,classification pairs.  For example, if you found the critical points x=?2 and x=3, and that the first was a local minimum and the second neither a minimum nor a maximum, you should enter   (-2,min), (3,neither).   Enter none if there are no critical points.)

critical points and classifications:

Now assume that the table gives values of the continuous function y=f?(x) (instead of f(x)).  Estimate and classify critical points of the function f(x).

critical points and classifications:

I've already finished the first part. Anyone can help me to solve the second part. Thanks!!!!!

x 0 1 2 3 4 5 6 7 8 9 10 y 3 4 3 2 -1 1 3 5 4 2 -1

Explanation / Answer

Critical point: none

Because there are no value of x satisfy f'(x)=0

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