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Let f(x) be a function differentiable on...

Let `f(x)` be a function differentiable on `[0,a]` such that `f(0) = 1, f(a) = 3^(1//6)`
If `f' (x) ge [f(x)]^4 + [f(x)]^(-2)` , then the maximum value of a is

A

`pi/6`

B

`pi/12`

C

`pi/24`

D

`pi/36`

Text Solution

Verified by Experts

The correct Answer is:
D
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