Home
Class 12
MATHS
Consider the function f(x)={{:(x sin.(...

Consider the function
`f(x)={{:(x sin.(pi)/(x)","," for "x gt0),(0","," for "x=0):}`, then the number of points in (0, 1), where the derivative f'(x) tends to zero is

A

0

B

1

C

2

D

infinite

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise For Session 1|15 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise For Session 2|6 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos
  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|27 Videos

Similar Questions

Explore conceptually related problems

Consider the function f(x)={[x sin(pi)/(x), for x>00,quad for x=0 The,the number of point in (0,1) where the derivative f'(x) vanishes is 0(b)1(c)2(d) infinite

Consider the function f:R to R defined by f(x)={((2-sin((1)/(x)))|x|,",",x ne 0),(0,",",x=0):} .Then f is :

Consider the function f(x) = {{:(2, x le 0),(2, x gt 0):} Find lim_(x->2)

Let f(x) = {(x "sin" (pi)/(x)",",0 lt x le 1),(0,x =0):} . Then f'(x) = 0 for

Consider the function f(x)=1/x^(2) for x gt 0 . To find lim_(x to 0) f(x) .

A function is defined as f(x) = {{:(e^(x)",",x le 0),(|x-1|",",x gt 0):} , then f(x) is

The function f(x)=x^(2)"sin"(1)/(x) , xne0,f(0)=0 at x=0

Consider the function f(x)={:{(x^(2)|x|x!=0),(" 0 "x=0):}} what is f'(0) equal to ?

Consider the function : " "f(x)={{:(x-2",", x lt 0), (" 0,", x=0), (x+2",", x gt 0.):} To find lim_(x to 0) f(x) .