﻿ The set of all points where the function  is differentiable is  : Kaysons Education

# The Set Of All Points Where The Function  is Differentiable Is

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## Question

### Solution

Correct option is

(–∞, ∞~ {0}

For x ≠ 0, we have

because, as h → 0–, h is a negative number, so that

Here f is not differentiable at x = 0. Thus the points of differentiability are (– ∞, ∞) ~ {0}.

#### SIMILAR QUESTIONS

Q1

The set of all points where the function (x) = x |x| is differentiable is

Q2

If (2) = 4 and f’(2) = 1, then

Q3

For n Ïµ N, let  The left hand derivative of f at x = π/4 is

Q4

If f(a) = 2, f’(a) = 1, g(a) = –1 and g’(a) = 2, the value of

Q5

If  is differentiable at x = 0, then

Q6

If f’ is differentiable function and f’’(x) is continuous at x = 0 and f’’(0) =a, the value of

Q7

Let [.] denote the greatest integer function and . Then

Q8

Let f (x + y) = (xf (y) for all x and y. If f (5) = 2 and f’(0) = 3, then f’(5) is equal to

Q9

Let f (x) = [x] and

Q10

Let

The values of the coefficient a and b for which the function is continuous and has a derivative at x0, are