First slide
Mean value theorems
Question

Rolle’s theorem is not applicable to functionf(x)=|x| in the interval[3,3]  because

Moderate
Solution

Here, f'(x)=x|x| which does not exist at0(3,3) . Hence, Rolle’s theorem is not applicable tof(x) in[3,3] asf is not derivable in(3,3) .

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