Home
Class 12
MATHS
The derivative of an odd function is :...

The derivative of an odd function is :

A

cos x

B

4 cos x

C

sin x

D

4 sin x

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos

  • ELLIPSE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos

Similar Questions

Explore conceptually related problems

The derivative of an even function is :

Find the derivative of the function given by f(x)= cos (x^2) .

Find the derivative of the constant function f (x) = a for a fixed real number a.

Find the derivative of the function cos x,w.r.t.x from first principle.

The domain of the derivative of the function f(x) = {(tan^(-1)x, |x|le1),(1/2(|x|-1), |x|gt1):} is

If f(x) = x^(2) - 2x then find the derivative of this function.

Find the derivative of the following functions: sinxcosx

Find the derivative of the following functions: secx

Find the second order derivatives of the function log x

Find the derivative of the following functions: "cosec"x

HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
  1. If f(x) = x/(1+|x|) for x in R, then f^(')(0) =

    Text Solution

    |

  2. y = sin^(-1)x, then (1-x^(2)) (d^(2)Y)/(dx) x^(2)) =

    Text Solution

    |

  3. The derivative of an odd function is :

    Text Solution

    |

  4. f(x) = 10 cos x + (13 + 2x) sin x, then f^('')(x) + f(x) =

    Text Solution

    |

  5. If f : R rarr R is an even function which is twice differentiable on R...

    Text Solution

    |

  6. If f(x)=sin^(-1)((2x)/(1+x^(2))), then f(sqrt3) is

    Text Solution

    |

  7. If xsqrt(1 + y) + ysqrt(1 + x) = 0 x != y prove that (dy)/(dx) = (-1)/...

    Text Solution

    |

  8. If x^(y) = y^(x) find (dy)/(dx)

    Text Solution

    |

  9. If sec ((x+y)/(x-y)) = a, then dy/dx =

    Text Solution

    |

  10. Derivative of f(x) = log(5)(log(7)x), where x gt 7 is

    Text Solution

    |

  11. If g is the inverse function of f and f^(')(x) = 1/(1+x^(n)), then g^(...

    Text Solution

    |

  12. If x = sin^(-1) (3t-4t^(3)) and y = cos^(-1) sqrt(1-t^(2)), and -1/2 l...

    Text Solution

    |

  13. If y = tan^(-1) ((a cos x - b sin x)/(b cos x + a sin x)), then dy/dx ...

    Text Solution

    |

  14. If sqrt(1-x^(6)) + sqrt(1-y^(6)) = a^(3)(x^(3)-y^(3)) then dy/dx =

    Text Solution

    |

  15. If f(x) = (x^(2)-x)/(x^(2)+2x), then d/dx [f^(-1)(x)] =

    Text Solution

    |

  16. If g(x) = (x^(2)+2x+3) f(x) and f(0) = 5 and lim(x rarr 0) (f(x)-5)/(x...

    Text Solution

    |

  17. The derivative of tan^(-1) ((2x)/(1-x^(2))) w.r.t sin^(-1) ((2x)/(1+x^...

    Text Solution

    |

  18. Let F(x) = f(x) g(x) h(x) for all real x, where f(x), g(x) and h(x) ar...

    Text Solution

    |

  19. (d^(2)x)/(dy^(2)) equals :

    Text Solution

    |

  20. If the function f(x)= x^(3)+e^(x/2) and g(x) = f^(-1)(x) then the valu...

    Text Solution

    |