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Let $f x = x 2 cos π x, x ≠ 0 0 x = 0$ , $x ∈ l$ , Then $f$ Then is

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differentiable both at

x = 0

and at

x = 2

differentiable at

x = 0

but not differentiable at

x = 2

not differentiable at

x = 0

but differentiable at

x = 2

differentiable neither at

x = 0

nor at

x = 2

answer is B.

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Detailed Solution

is continuous at

Similarly

So, is differentiable at

Clearly

is continuous at

Similarly, we can P.T

Hence,

is not differentiable at

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