Math miscellaneousHard
Question
Let f(x)
Then which one of the following is true?
Then which one of the following is true?Options
A.f is neither differentiable at x = 0 nor at x = 1
B.f is differentiable at x = 0 and at x = 1
C.f is differentiable at x = 0 but not at x = 1
D.f is differentiable at x = 1 but not at x = 0
Solution
f′(1) = 
⇒ f′(1) =
⇒ f′(1)
∴ f is not differentiable at x = 1.
Similarly, f′(0)
⇒ f′(0)
⇒ f is also not differentiable at x = 0.
⇒ f′(1) =
⇒ f′(1)
∴ f is not differentiable at x = 1.
Similarly, f′(0)
⇒ f′(0)
⇒ f is also not differentiable at x = 0.
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