Home
Class 12
MATHS
Differentiate x^2(1-x^2) with respect to...

Differentiate `x^2(1-x^2)` with respect to `x` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA ENGLISH|Exercise All Questions|107 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|90 Videos

Similar Questions

Explore conceptually related problems

Differentiate sec^2 (x^2) with respect to x^2

Differentiate x^(1//x) with respect to x :

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

Differentiate 3^(x^2+2x) with respect to x :

Differentiate e^(sinx^2) with respect to x :

Differentiate 2^(x^3) with respect to x :

Differentiate (tanx)^(1//x) with respect to x :

Differentiate cos^(-1)(1-2x^2) with respect to x , if 0 < x < 1

Differentiate cos^(-1)(1-2x^2) with respect to x , if -1

Differentiate (x^2+x+1)^4 with respect to x :

RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. Differentiate 3\ e^(-3x)log(1+x)

    Text Solution

    |

  2. Differentiate the following functions with respect to (x^2+2)/(sqrt...

    Text Solution

    |

  3. Differentiate x^2(1-x^2) with respect to x .

    Text Solution

    |

  4. Differentiate log{cot(pi/4+x/2)} with respect to x :

    Text Solution

    |

  5. Differentiate the following functions with respect to e^(a x)secxta...

    Text Solution

    |

  6. Differentiate log(cosx^2) with respect to x :

    Text Solution

    |

  7. Differentiate cos(logx)^2 with respect to x :

    Text Solution

    |

  8. Differentiate logsqrt((x-1)/(x+1)) with respect to x :

    Text Solution

    |

  9. If y=log{sqrt(x-1)-sqrt(x+1)} , show that (dy)/(dx)=(-1)/(2sqrt(x^2-1)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. If y=logsqrt((1-tanx)/(1+tanx)) , prove that (dy)/(dx)=-sec2x .

    Text Solution

    |

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

    Text Solution

    |

  15. If y=(xsin^(-1)x)/(sqrt(1-x^2)),"p r o v et h a t"(1-x^2)(dy)/(dx)=x+...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. If y=e^xcosx , prove that (dy)/(dx)=sqrt(2)\ e^xcos(x+pi/4)

    Text Solution

    |

  19. If y=1/2log((1-cos2x)/(1+cos2x)) , prove that (dy)/(dx)=2\ cos e c\ 2x

    Text Solution

    |

  20. If y=x\ sin^(-1)x+sqrt(1-x^2) , prove that (dy)/(dx)=sin^(-1)x

    Text Solution

    |