Home
Class 12
MATHS
Give example of two functions which are ...

Give example of two functions which are not derivable at x = 0 , but their sum is derivable at x=0

Text Solution

Verified by Experts

f(x) = | x [ +1 is not differentiable at x = 0 g(x) = 1 -| x | is not differentiable at 0. Their sum f(x) + g(x) = 2 which is differentiable at x = 0.
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MBD PUBLICATION|Exercise QUESTION BANK|127 Videos

  • TRIGONOMETRIC FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|267 Videos

Similar Questions

Explore conceptually related problems

f(x)=xabsx is derivable at x=0 .

Give example of a function which is continuous but not differentiable at x=1.

There is no function which is its own derivative

Write the anti derivative of 2^x + x ?

Find derivatives of the following functions. tan x cot 2x

State True or False .There is no function which is its own derivative.

Find derivatives of the following functions sqrt log x

MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Find the derivative of Inxa.

    Text Solution

    |

  2. Write a logarithmic functions which is differentiable atevery point in...

    Text Solution

    |

  3. Give example of two functions which are not derivable at x = 0 , but t...

    Text Solution

    |

  4. Write the value of x for which d/dx"tan"^-1((2x)/(1-x^2))=2/(1+x^2)

    Text Solution

    |

  5. If y=5^t and t=e^(3x). Write the value of dy/dx at x= 0

    Text Solution

    |

  6. Write the derivative of sin^-1x with respect to cos^-1x.

    Text Solution

    |

  7. Write the value of (dy)/dx if y=sinx+sqrt(sinx+sqrt(sinx+sqrt(sinx+......

    Text Solution

    |

  8. Write the value of (dy)/dx if y=x^(x^(x^... oo))

    Text Solution

    |

  9. Write the value of (dy)/dx at (1,0) where x^2y+y^2+x=0.

    Text Solution

    |

  10. Write the minimum value of y2 where y=sin^2x cos^2x

    Text Solution

    |

  11. If x=log t, y=t^2-1, then what is y2 at t=1 ?

    Text Solution

    |

  12. What is the slope of the tangent to the curve y=3x^2+2x-1 at x=2?

    Text Solution

    |

  13. If y=1/(x(x+1))then what is y3?

    Text Solution

    |

  14. If f(x)=e^(ax) sin ax and f"(0) = 2, then what is a ?

    Text Solution

    |

  15. A balloon is pumped at the tate of 10 cubic cm/min . What it the rate ...

    Text Solution

    |

  16. For what values of a the function e^(ax)is increasing ?

    Text Solution

    |

  17. What is the interval in which log5xis increasing ?

    Text Solution

    |

  18. What is the interval in which f(x)=x^3-3x^2+3x-10 is strictly increasi...

    Text Solution

    |

  19. Give example of a function which is increasing in (-oo,2) and (3,oo) a...

    Text Solution

    |

  20. Write the least value of a for which the function f defined by f(x)=x^...

    Text Solution

    |