Home
Class 11
MATHS
The function f(x)={(2, xle1),(x, xgt1):}...

The function `f(x)={(2, xle1),(x, xgt1):}` is not differentiable at……

A

x=0

B

x=1

C

x=-1

D

x=2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER -17

    FULL MARKS|Exercise PART-II|10 Videos

  • SAMPLE PAPER -17

    FULL MARKS|Exercise PART -III|10 Videos

  • SAMPLE PAPER - 3

    FULL MARKS|Exercise PART - IV|7 Videos

  • SAMPLE PAPER -19

    FULL MARKS|Exercise SAMPLE PAPER UNSOLVED-19(IV)|6 Videos

Similar Questions

Explore conceptually related problems

The function f(x) = {{:(2, x lt=1),(x , x gt 1 ):} is not differentiable at ………..

Prove that the function f given by f(x)= |x-1|, x in R is not differentiable at x= 1.

For the function f(x)={{:(x+2", "xgt0),(x-2", "xlt0):}

The function f(x)=e^x+x , being differentiable and one-to-one, has a differentiable inverse f^(-1)(x)dot The value of d/(dx)(f^(-1)) at the point f(log2) is (a) 1/(1n2) (b) 1/3 (c) 1/4 (d) none of these

Show that the greater integer function f(x) = [x] is not differential at x=1 and x=2

f(x)=(x)/(1+|x|) then f is differentiable at

The function y=f(x) is the solution of the differential equation (dy)/(dx)+(x y)/(x^2-1)=(x^4+2x)/(sqrt(1-x^2)) in (-1,1) satisfying f(0)=0. Then int_((sqrt(3))/2)^((sqrt(3))/2)f(x)dx is

Find the complete set of values of alpha for which the function f(x) = {(x+1,xlt1 alpha , x =1 , is strictly increasing x=1 x^(2)-x+3,xgt1

Let f:""RrarrR be defined by f(x)""= {(k-2x , if xle-1),( 2x+3, if x gt-1):} . If f has a local minimum at x""=""1 , then a possible value of k is (1) 0 (2) -1/2 (3) -1 (4) 1

Suppose |[f'(x),f(x)],[f''(x),f'(x)]|=0 is continuously differentiable function with f^(prime)(x)!=0 and satisfies f(0)=1 and f'(0)=2 then (lim)_(x->0)(f(x)-1)/x is 1//2 b. 1 c. 2 d. 0