Home
Class 12
MATHS
(d)/(dx)[log(e)e^(sin(x^(2)))] is equal ...

`(d)/(dx)[log_(e)e^(sin(x^(2)))]` is equal to

A

`2cos(x^(2))`

B

`2cosx`

C

`2x.cosx`

D

`2x cos(x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
`(d)/(dx)[log_(e)e^(sin(x^(2)))]=(d)/(dx)[sin(x^(2))]`
`=cos(x^(2))2x`
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 13

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER II OBJECTIVE TYPE|50 Videos

  • PRACTICE SET 15

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS)|50 Videos

Similar Questions

Explore conceptually related problems

(d)/(dx)[log_(a)x]

(d)/(dx)[log((x)/(e^(tan x)))]=

(d)/(dx)[log((x^(n))/(e^(x)))]=

d/(dx)log_|x|e=

(d)/(dx){log_(e)(ax)^(x)}

(d)/(dx)[log((x)/(e^(cotx)))]=

(d)/(dx)(e^(log_(e)x^(3)))

(d)/(dx)[log((e^(4x))/(1+e^(4x)))]

(d)/(dx)((log x)/(sin x))=

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 14-Paper 2 (Mathematics)
  1. Find the length of normal to the curve x=a(theta+sintheta),y=a(1-costh...

    Text Solution

    |

  2. If y=(x+sqrt(1+x^2))^n then (1+x^2)(d^2y)/(dx^2)+x(dy)/(dx)

    Text Solution

    |

  3. (d)/(dx)[log(e)e^(sin(x^(2)))] is equal to

    Text Solution

    |

  4. The area enclosed between the curve y=log(e)(x+e) and the coordinate a...

    Text Solution

    |

  5. If f(x)={{:((1-sinx)/(pi-2x),,","xne(pi)/(2)),(lambda,,","x=(pi)/(2)):...

    Text Solution

    |

  6. The value of lim(xto0) ((1-cos2x)sin5x)/(x^(2)sin3x) is

    Text Solution

    |

  7. The differential equation of the family of parabolas with focus at the...

    Text Solution

    |

  8. int(-2)^(2)sin^(3)x|x|dx is equal to

    Text Solution

    |

  9. Find the antiderivative of f(x) = In (In x) + (In x)^-2 whose graph p...

    Text Solution

    |

  10. A basket contains 5 apples and 7 oranges and another basket contains 4...

    Text Solution

    |

  11. For the following linear programming problem minimize Z=4x+6y subject ...

    Text Solution

    |

  12. If p to (~ p vvq) is false, the truth values of p and q are , respecti...

    Text Solution

    |

  13. Which of the following pair of straight lines intersect at right angle...

    Text Solution

    |

  14. If bar u,bar v,bar w are three non coplanar vectors then (bar u+bar ...

    Text Solution

    |

  15. A five digit number is chosen at random. The probability that all the ...

    Text Solution

    |

  16. The output s as a Boolean expression in the inputs x(1),x(2) and x(3) ...

    Text Solution

    |

  17. If int(log"("x+sqrt(1+x^(2))")")/(sqrt(1+x^(2)))dx="gof"(x)+"constant,...

    Text Solution

    |

  18. If y=f(x)" and "ycosx+cosy=pi, then the value of f''(0) is

    Text Solution

    |

  19. The statement (p rArr q) iff (~p ^^ q) is a

    Text Solution

    |

  20. In order that the function f(x)=(x+1)^(cotx) is continuous at x = 0, f...

    Text Solution

    |