Home
Class 12
MATHS
Differentiate xsin2x+5^x+k^k+(t a n^2x)^...

Differentiate `xsin2x+5^x+k^k+(t a n^2x)^3` with respect to `x` :

Text Solution

Verified by Experts

Let `y=xsin2x+5^x+k^k+(t a n^2x)^3`
`(dy)/(dx)=1*sin2x+x*cos2x *2+5^x *log_e^5 +0+6*tan^5 x*sec^2x`
`=sin 2x+2x cos2x +5^xlog_e^5+6 tan^5x sec^2x`
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 cos 3xsin 5x

Differentiate x^(2) w.r.t x^(3)

Differentiate (x^(2)(1-x^(2))^(3))/(cos2x) with respect to x

Differentiate 5^(3)-x^(2)+(3-x^(2))^(5) with respect to x:

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

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

Differentiate cos^(2)x^(3) w.r.t x

Differentiate w.r.t.x(2x+1)^(3)

Differentiate sin(x^(2)+5) w.r.t. x.

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

RD SHARMA-DIFFERENTIATION-Solved Examples And Exercises
  1. Differentiate log(tan^(-1)x) with respect to x :

    Text Solution

    |

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

    Text Solution

    |

  3. Differentiate xsin2x+5^x+k^k+(t a n^2x)^3 with respect to x :

    Text Solution

    |

  4. Differentiate log(3x+2)-x^2log(2x-1) with respect to x :

    Text Solution

    |

  5. Differentiate sin^2{log(2x+3)} with respect to x :

    Text Solution

    |

  6. Differentiate e^x \ logsin2x with respect to x .

    Text Solution

    |

  7. Differentiate (sqrt(x^2+1)+sqrt(x^2-1))/(sqrt(x^2+1)-sqrt(x^2-1)) with...

    Text Solution

    |

  8. Differentiate log{x+2+sqrt(x^2+4x+1)} with respect to x :

    Text Solution

    |

  9. Differentiate (sin^(-1)x^4)^4 with respect to x :

    Text Solution

    |

  10. Differentiate sin^(-1)(x/(sqrt(x^2+a^2))) with respect to x :

    Text Solution

    |

  11. Differentiate (e^xsinx)/((x^2+2)^3) with respect to x .

    Text Solution

    |

  12. Differentiate 3\ e^(-3x)log(1+x)

    Text Solution

    |

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

    Text Solution

    |

  14. Differentiate (x^2(1-x^2)^3)/(cos2x) with respect to x .

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |