Home
Class 12
MATHS
If y = 2^(ax) and dy/dx = log 256 at x ...

If `y = 2^(ax)` and dy/dx = log 256 at x =1, then the value of a is

A

0

B

1

C

2

D

3

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 x^(y) = log x , the value of dy/dx at x = e is

If y = log (tan sqrtx), dy/dx =

If y = sqrt(log x +y) then dy/dx =

If 2^(x) + 2^(y) = 2^(x+y) , then the value dy/dx at x = y =1 is

If y = 2^(log x) , then (dy)/(dx) is

If y = e^(sin(log x)) , then dy/dx =

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

If y = cos(log sin x), then dy/dx =

HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
  1. The derivative of sec^(-1)((1)/(2x^(2)-1)) w.r.t. sqrt(1-x^(2)) at x=1...

    Text Solution

    |

  2. If y = sqrt(tanx+sqrt(tan+sqrt(tanx+......,)))then dy/dx =

    Text Solution

    |

  3. If y = 2^(ax) and dy/dx = log 256 at x =1, then the value of a is

    Text Solution

    |

  4. If x^(y) = log x, the value of dy/dx at x = e is

    Text Solution

    |

  5. d/dx {(cosx + sinx)/(cos x - sin x)} =

    Text Solution

    |

  6. If f(x) = |x|, then f^(')(0) =

    Text Solution

    |

  7. If x = y sqrt(1-y^(2)), then dy/dx =

    Text Solution

    |

  8. If f(x) = (x-1)(x-2)(x-3), then f^(')(0) =

    Text Solution

    |

  9. If y = sin^(-1) ((2x)/(1+x^(2)))+ sec^(-1)((1+x^(2))/(1-x^(2))), (-1 l...

    Text Solution

    |

  10. If y = sin^(-1) ((2x)/(1+x^(2)))+ sec^(-1)((1+x^(2))/(1-x^(2))), (0 lt...

    Text Solution

    |

  11. If y = sin^(-1) ((2x)/(1+x^(2)))+ sec^(-1)((1+x^(2))/(1-x^(2))), (x gt...

    Text Solution

    |

  12. If y=tan^(-1)(( sin x + cosx)/(cosx-sinx)) then (dy)/(dx) is equal to

    Text Solution

    |

  13. If y = tan^(-1) [(sqrt(1+sinx) + sqrt(1-sinx ))/(sqrt(1+sinx)-sqrt(1-s...

    Text Solution

    |

  14. If y =x sin^(-1)x + sqrt(1-x^(2)), then dy/dx =

    Text Solution

    |

  15. If y = tan^(-1) [(sqrt(1+sinx) + sqrt(1-sinx ))/(sqrt(1+sinx)-sqrt(1-s...

    Text Solution

    |

  16. If y=tan^(-1)((4x)/(1-5x^(2)))+tan^(-1)((3+8x)/(8-3x)), then (dy)/(dx)...

    Text Solution

    |

  17. d/dx [cos^(-1)((1-x^(2))/(1+x^(2)))] at x = -1/sqrt2.

    Text Solution

    |

  18. d/dx [sin^(-1)((2x)/(1+x^(2)))] at x = 1/2 is

    Text Solution

    |

  19. d/dx [sin^(-1)((2x)/(1+x^(2)))] at x = 3/2 is

    Text Solution

    |

  20. If y = sin^(-1) (3x-4x^(3)), then dy/dx at x = 1/3 is

    Text Solution

    |