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.
Create a free account to view solution
View Solution FreeMore Math miscellaneous Questions
If a ∈ R and the equation -3(x - [x])2 + 2 (x - [x]) + a2 = 0 (where [x] denotes the greatest integer ≤ x) h...The number of real solutions of the equation x2 - 3 |x| + 2 = 0 is...At an election, a voter may vote for any number of candidates, not greater than the number to be elected. There are 10 c...If one of the lines given by $6x^2 - xy + 4cy^2 = 0$ is $3x + 4y = 0$, then $c$ equals...Value of dx is -...