Home
Class 12
MATHS
Differentiate the following functions wi...

Differentiate the following functions with respect to `x :` (i)`logsinx^2` (ii) `e^sin(x^2)` (iii) `sin(e^(x^2))dot`

Text Solution

Verified by Experts

a
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|102 Videos
  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA|Exercise Solved Examples And Exercises|67 Videos

Similar Questions

Explore conceptually related problems

Differentiate the following functions with respect to x:e^(e^(x))

Differentiate the following functions with respect to x : e^(x) cotx

Differentiate the following functions with respect to sin(3x+5)

Differentiate the following functions with respect to e^(tan x)

Differentiate the following functions with respect to 3^(e^(x))

Differentiate the following function with respect of x:sin^(2)x

Differentiate the following function with respect of x:x^(3)sin x

Differentiate the following functions with respect to sin(log x)

Differentiate the following functions with respect to 3^(x^(2))+2x

Differentiate the following functions with respect to x : x^2e^xlogx

RD SHARMA-DIFFERENTIATION-Solved Examples And Exercises
  1. Differentiate tan^(-1){(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x...

    Text Solution

    |

  2. Differentiate the following functions with respect to x : (x^2+x+1)^...

    Text Solution

    |

  3. Differentiate the following functions with respect to x : (i)logsin...

    Text Solution

    |

  4. Differentiate log sinx from first principle.

    Text Solution

    |

  5. If f(x)=|logx|,xgt0,find f^(prime)(1/e) and f^(prime)(e)

    Text Solution

    |

  6. Differentiate sin^(-1)sqrt(x)(0ltxlt1) from first principles.

    Text Solution

    |

  7. Differentiate sin^(-1)(2x+3) from first principles.

    Text Solution

    |

  8. Differentiate the following functions with respect to x : (2^2cotx)/(...

    Text Solution

    |

  9. If f(x)=|cosx-sinx|,find f^(prime)(pi/6)a n df^(prime)(pi/3)dot

    Text Solution

    |

  10. If y=(1+x)(1+x^2)(1+x^4)(1+x^8)...........(1+x^n),find dy//dx

    Text Solution

    |

  11. If x=asec^3theta and y=atan^3theta, find (dy)/(dx) at theta=pi/3

    Text Solution

    |

  12. If x=sin^(-1)((2t)/(1+t^2))a n dy=tan^(-1)((2t)/(1-t^2)),t > 1. P rov ...

    Text Solution

    |

  13. If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+ tooo))),p rov et h a t(dy)/(dx)=(...

    Text Solution

    |

  14. If y=a^x^a^x^(dot)dot^((((oo)))),p rov et h a t(dy)/(dx)=(y^2logy)/(x...

    Text Solution

    |

  15. If y=e^x^+e^x^+e^((((( tooo))))),s howt h a t(dy)/(dx)=y/(1-y)

    Text Solution

    |

  16. If y=(sqrt(x))^sqrt(x)^sqrt(x)^(dot)^(((oo))),s howt h a t(dy)/(dx)=(y...

    Text Solution

    |

  17. If y=x+1/(x+1/(1/(x+))), prove that (dy)/(dx)=y/(2y-x)

    Text Solution

    |

  18. If y=(sinx)/(1+(cosx)/(1+(sinx)/(1+(cosx)/(1+ tooo)))),p rov et h a t(...

    Text Solution

    |

  19. If e^x+e^y=e^(x+y),prove that (dy)/(dx)=-(e^x(e^y-1))/(e^y(e^x-1))or...

    Text Solution

    |

  20. If y=(cosx)^((cosx)^(((cosx)^((...oo)) prove that (dy)/(dx)=-(y^2tanx)...

    Text Solution

    |