How do I Determine whether Rollie's theorem can be applied to F on the closed interval (AB) F of X = -x squared

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Determine whether Rollie's theorem can be applied or not

First, find the coordinates of the endpoints on the closed interval [-1, 1]

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Find the derivative of f(x)

Calculate the slope (m) of the secant line i.e. and

Set the derivative to the calculated slope:

Plug in 0 for x in f'(0)

Since f'(0) is differentiable at x = 0. We can conclude that Rollie's theorem can be applied

hi,

you half the rectangle that you ae asking about so then you would see the scale factor of 1/2 the one u have selected, the one on top is half.

hope this !