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discuss the application and conclusion of Lagranges mean value theorem on the function f(x)=|x| on interval [-1,1]

discuss the application and conclusion of Lagranges mean value theorem on the function f(x)=|x| on interval [-1,1]

Grade:11

1 Answers

Parvez ali
askIITians Faculty 47 Points
8 years ago

if a functionfiscontinuouson theclosed interval[a,b], wherea<b, and differentiable on theopen interval(a,b), then there exists a pointcin (a,b) such that

 f'(c) = \frac{f(b) - f(a)}{b-a} \, .

but f(x)=mod(x) is not differentiable at x=0 so LMV theorem is not applicable in the given interval



Thanks & Regards
Parvez Ali
askIITians Faculty

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