Home
Class 12
MATHS
If f(x)= sqrt(ax) + a^(2)/(sqrt(ax) then...

If `f(x)= sqrt(ax) + a^(2)/(sqrt(ax)` then `f^(')(a) =`

A

-1

B

1

C

0

D

a

Text Solution

Verified by Experts

The correct Answer is:
C
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

If f(x) = (x-4)/(2sqrt(x)) , then f^(')(1) is

The value of f(0), so that the function f(x) = (sqrt(a^(2)-ax+x^(2))-sqrt(a^(2)+ax+x^(2)))/(sqrt(a+x) - sqrt(a-x)) becomes continuous for all x, given by

Let f(x)=sqrt(1+x^(2)) , then :

If f(x) = sqrt((x-sinx)/(x+cos^(2)x)) , then lim_(x rarr oo) f(x) =

If int (sinx)/(sin^(2)x+4cos^(2)x)dx=-(1)/(sqrt(3))tan^(-1)((sqrt(3))/f(x))+c ,then f(x) equals :

Let f(x) = (ax+b)/(cx + d), then f(x) has

If f(x)=(1)/(sqrt(x+2 sqrt(2 x-4)))+(1)/(sqrt(x-2 sqrt(2 x-4))) , for x gt 2 , then f(11)=

HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
  1. If x = (2t)/(1+t^(2)), y = (1-t^(2))/(1+t^(2)) then dy/dx =

    Text Solution

    |

  2. Let f(x) = e^(x), g(x) = sin^(-1) x and h(x) = f(g(x)) then (h^(')(x))...

    Text Solution

    |

  3. If f(x)= sqrt(ax) + a^(2)/(sqrt(ax) then f^(')(a) =

    Text Solution

    |

  4. If f(x) {((x-1)/(2x^(2)-7x+5), x ne 1),(-1/3, x = 1):} then f^(')(1) =

    Text Solution

    |

  5. If f(x) = x/(1+|x|) for x in R, then f^(')(0) =

    Text Solution

    |

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

    Text Solution

    |

  7. The derivative of an odd function is :

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |