Home
Class 12
MATHS
The differential of e^(x^(3)) with respe...

The differential of `e^(x^(3))` with respect to log x is

A

`3x^(2).e^(x^(3))+3x^(2)`

B

`e^(x^(3))`

C

`3x^(3).e^(x^(3))`

D

`3x^(2).e^(x^(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

Differentiate (sinx)^(x) with respect to x.

Differentiate : x^(sin x) with respect to x.

Differentiate (sin x)^(x) with respect to x.

Differentiate log(cose^x) with respect to x

Differentiate sin(cos(x^2)) with respect to x.

Differentiate sin(x^2) with respect to x.

Differentiate sin sqrt(x) with respect to x.

Differentiate (sinx)^(cosx) with respect to x.

Differentiate sin (sin (x^2)) with respect to x.

The differential coefficient of f(sin x) with respect to x where f(x) = log x is

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

    Text Solution

    |

  2. If x=2cost+cos2t,y=2 sint-sin2t, then (dy)/(dx) at t=(pi)/(4) is

    Text Solution

    |

  3. The differential of e^(x^(3)) with respect to log x is

    Text Solution

    |

  4. The derivative of cos^(-1)((1-x^(2))/(1+x^(2))) w.r.t. cot^(-1)((1-3x^...

    Text Solution

    |

  5. The differential coefficient of f(sin x) with respect to x where f(x) ...

    Text Solution

    |

  6. If x=a(t-(1)/(t)),y=a(t+(1)/(t)) then (dy)/(dx)=

    Text Solution

    |

  7. y = tan^(-1) (sec x - tan x), then dy/dx =

    Text Solution

    |

  8. If y = (e^(x)+e^(-x))/(e^(x)-e^(-x))then is equal to...

    Text Solution

    |

  9. Ify = tan^(-1) ((sqrt(1+x^(2)) -sqrt(1-x^(2)))/(sqrt(1+x^(2)) + sqrt(1...

    Text Solution

    |

  10. If f (x) and g (x) are two functions with g(x)=x-(1)/(x) and fog (x)=x...

    Text Solution

    |

  11. The derivative of a^(sec x) w.r.t. a^(tan x)(a gt 0) is

    Text Solution

    |

  12. If sec^(-1)((1+x)/(1+ y)) = a, then (dy)/(dx) is

    Text Solution

    |

  13. If y = sin^(3^(-x)) then dy/dx =

    Text Solution

    |

  14. alpha+beta are the zeroes of the polynomial x^(2)-6x+4, then the value...

    Text Solution

    |

  15. The derivative of cos^(-1)((1-x^(2))/(1+x^(2))) w.r.t. cot^(-1)((1-3x^...

    Text Solution

    |

  16. y = tan^(-1) (sec x - tan x), then dy/dx =

    Text Solution

    |

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

    Text Solution

    |

  18. If x^(y) = log x, then dy/dx at the point where the curve cut the x-ax...

    Text Solution

    |

  19. If y = a^(x), then (d^(2)y)/(dx^(2)) =

    Text Solution

    |

  20. If x^(2)+xy+y^(2)=0, (d^(2)y)/(dx^(2))=

    Text Solution

    |