Home
Class 12
MATHS
If f(x)=max{tanx, sin x, cos x} where x ...

If `f(x)=max{tanx, sin x, cos x}` where `x in [-(pi)/(2),(3pi)/(2))` then the number of points, where f(x) is non -differentiable, is

A

2

B

3

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
B

From the graph, there are three points `x=0,(pi)/(2),pi` of non-differentiability.
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    CENGAGE|Exercise Multiple Correct Answer Type|9 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    CENGAGE|Exercise Comprehension Type|2 Videos

  • CONIC SECTIONS

    CENGAGE|Exercise Solved Examples And Exercises|91 Videos

  • COORDINATE SYSTEM

    CENGAGE|Exercise Multiple Correct Answers Type|2 Videos

Similar Questions

Explore conceptually related problems

The number of points where f(x)=|x^(2)-3|x|-4| is non - differentiable is

If f(x) = [[x^(3),|x| =1] , then number of points where f(x) is non-differentiable is

If f(x)=|x^(2)-3x+2|+|sinx| then number of points where f(x) is not differentiable in [-pi,pi] is

Let f(x)=sin x,g(x)={{max f(t),0 pi Then number of point in (0,oo) where f(x) is not differentiable is

Let f(x)=max*{|x^(2)-2|x||,|x|} then number of points where f(x) is non derivable, is :

f:(0,oo)rArr R f(x)= max(x^(2),|x|) then the number of points where function is non- differentiable,is

Consider the function f(x)=min{|x^(2)-9|,|x^(2)-1|} , then the number of points where f(x) is non - differentiable is/are

Consider the function f(x)=min{|x^(2)-4|,|x^(2)-1|} , then the number of points where f(x) is non - differentiable is/are

Let f:[0,(pi)/(2)]rarr R a function defined by f(x)=max{sin x,cos x,(3)/(4)} ,then number of points where f(x) is non-differentiable is

Let f: [0,(pi)/(2)]rarr R be a function defined by f(x)=max{sin x, cos x,(3)/(4)} ,then number of points where f(x) in non-differentiable is

CENGAGE-CONTINUITY AND DIFFERENTIABILITY-Question Bank
  1. If f(x)=max{tanx, sin x, cos x} where x in [-(pi)/(2),(3pi)/(2)) then ...

    Text Solution

    |

  2. Let f(x) = {(x^(2)-a, if x lt 3),(bsqrt(x-2)+a, if 3 le x lt 6),(2x+b,...

    Text Solution

    |

  3. Given f(x) = {(x^(2)-5x+alpha, -ooltxle 0),(|7-3x|+sin [x], o lt x lt ...

    Text Solution

    |

  4. Let f(x) = {(sqrt(x^(2)-1), x le sqrt10),((sqrt(10x)-7), sqrt10lt xlt...

    Text Solution

    |

  5. Let f(x) = sqrt(x^(2)+px+1)/(x^(2)-p). If f(x) is discontinuous at exa...

    Text Solution

    |

  6. Number of points of non-derivability of the function f(x) = root (3)((...

    Text Solution

    |

  7. If f(x) = {(lim(x rarr oo)(6^(t)+10^(t))^(1/t), x = 0),(x^(2)+4x+C, x ...

    Text Solution

    |

  8. Number of point(s) in [1,2] where f(x) = (-2)^([x^(3)]) is non-differe...

    Text Solution

    |

  9. Consider the function f(x) = {(a^(2)+e^(x), -oo lt x lt 0),(x+2, 0le x...

    Text Solution

    |

  10. Let f(x) = [(sqrt(1+sin^(2)(x^(2))-cos^(3)(x^(2)))/(x^(3)tanx), if x n...

    Text Solution

    |

  11. Let f(x) = {(cos(x^(3)), -ooltxlt0),(sin(x^(3))-|x^(3)-1|, 0lexltoo):}...

    Text Solution

    |

  12. The sum of all values of x for which the function f(x) = sqrt(|x^(2)-5...

    Text Solution

    |

  13. Let f(x) = [(-1, -3 le x lt 0),(x-1, 0le xle 3):} and g(x) = f(|x|)+|f...

    Text Solution

    |

  14. Let f(x) be a differentiable function satisfying f((x+2y)/3)= (f(x)+2f...

    Text Solution

    |

  15. Let f(x) = {((sin alphax^(2))/x^(2), x ne 0),(3/4+1/(4alpha), x = 0):}...

    Text Solution

    |

  16. Let f(x) = {(a tan^(-1)(1/(x-4)), 0 lexlt4),(pi/2, x= 4),(btan^(-1)(2/...

    Text Solution

    |

  17. Let f(x) = {((1+ax)^(1/x), x lt 0),((root(3)(x+c)-1)/(sqrt(x+1)-1), x ...

    Text Solution

    |

  18. The number of points in (-5,5) where f(x)=[x](x^(3)-x)^(2)) is non-dif...

    Text Solution

    |

  19. If f(x) = cos (x (cos)1/x) and g(x) = (In(sec^(2)x))/(x sin x) are bot...

    Text Solution

    |

  20. Consider , f(x) = {(|(x-x^(3) 1 2),(0 2 3x^(4)),(x^(2) 4x x^(3)-3x^(5)...

    Text Solution

    |

  21. Number of points where f(x)= max {2-|x|, min {x^(2)-1}} is not differe...

    Text Solution

    |