Home
Class 12
MATHS
Which of the following function is diffe...

Which of the following function is differentiable at `x=0`?

A

cos (|x|) + |x|

B

cos (|x|)-|x|

C

sin (|x|)+|x|

D

sin(|x|)-|x|

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|219 Videos

  • LINEAR INEQUALITIES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|54 Videos

Similar Questions

Explore conceptually related problems

Which of the following functions is differentiable at x=0 . ?

Which of the following functions is an odd function ,

Which of the following functions is an even function :

Which of the following function is decreasing on (0, pi/2)

Which of the following functions is a polynomial function :

Which of the following functions is a solution of the differential equation ((dy)/(dx))^(2)-x((dy)/(dx))+y=0 ?

In which of the following cases, the function f(x) has vertical tangent at x = 0 ? (v) f(x)={{:(0","," if "xlt0),(1","," if "xge0):}

In which of the following cases, the function f(x) has vertical tangent at x = 0 ? f(x)=x^(2//3)

HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. If f(x)={{:((logex)/(x-1),,,x ne 1),(k,,,x=1):}is continuous at x = 1...

    Text Solution

    |

  2. f(x)=2a-x in -altxlta=3x-2a in a lex. Then which of the following i...

    Text Solution

    |

  3. Which of the following function is differentiable at x=0?

    Text Solution

    |

  4. Let f(x) = (1-tanx)/(4x-pi),x ne (pi)/(4), x in [0, (pi)/(2)], if f(x)...

    Text Solution

    |

  5. The function f : R//{0} rarr R given by : f(x) = (1)/(x) - (2)/(e^(2...

    Text Solution

    |

  6. If f : R rarr R is defined by f(x) = {((cos3x-cosx)/x^(2), x ne 0),(la...

    Text Solution

    |

  7. f(x) = (sqrt(1+px) - sqrt(1 - px))/(x), -1 le x le 0 = (2x + 1)/(x-2),...

    Text Solution

    |

  8. Let f(x) = {(x^(4)-5x^(2)+4)/(|(x-1)(x-2)|) x ne 1,2),(6, x=1), (12, x...

    Text Solution

    |

  9. Let f(x) = (1-sin x)/((pi - 2x)^(2)),"where x" ne pi//2 and f(pi//2) =...

    Text Solution

    |

  10. The value of f(0) so that the function f(x) = ((27-2x)^(1/3)-3)/(9-3(2...

    Text Solution

    |

  11. Let f(x) = {((tanx - cotx)/(x-pi/4), xne pi/4),(a, x = pi/4):}. The va...

    Text Solution

    |

  12. The value of f(0), so that the function f(x) = (sqrt(a^(2)-ax+x^(2))-s...

    Text Solution

    |

  13. The function f(x)=1+|sinx| is :

    Text Solution

    |

  14. The range of the function f(x)=[x]-x , where [x] denotes the greatest ...

    Text Solution

    |

  15. Let f((x+y)/2) = (f(x)+f(y))/2 for all real values of x and y. If f^('...

    Text Solution

    |

  16. Let f : R rarr R be a function defined by f(x) = max {x,x^(3)}. The se...

    Text Solution

    |

  17. The domain of the derivative of the function f(x) = {(tan^(-1)x, |x|le...

    Text Solution

    |

  18. lim(h rarr 0) (f(2h+2+h^(2))-f(2))/(f(h-h^(2)+1)-f(1)) given that f^('...

    Text Solution

    |

  19. If f(x) is differentiable increasing function, then lim(x to 0) (f(x^(...

    Text Solution

    |

  20. If f(x) is continuos and differentiable function such that f(1/n) = 0 ...

    Text Solution

    |