Mean Value Theorem for f(x) = 1 - x² + x³ on [-1,1] | GATE EC 2015 Set 1 Question 12

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EC > GATE 2015 SET-1 > Engineering Mathematics - Calculus

A function f(x) = 1 − x² + x³ is defined in the closed interval [−1,1]. The value of x in the open interval (−1,1) for which the mean value theorem is satisfied is

A

-1/2

B

-1/3

C

1/3

D

1/2

Explanation

Correct : b

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