Home
Class 12
MATHS
Differentiate the following functions...

Differentiate the following functions with respect to `e^(a x)secxtan2x`

Text Solution

Verified by Experts

y=`e^(a x)secxtan2x`
`dy/dx=d/dx(e^(a x)secxtan2x)`
=`d/dx(e^(ax)(secxtan2x)+d/dx(secxtan2x)e^(ax))`
=`e^(ax)[asec(x)tan(2x)+sec(x)tan(x)tan(2x)+2sec^2(2x)sec(x)]`
=`e^(ax)sec(x)[atan(2x)+tan(x)tan(2x)+2sec^2(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 the following functions with respect to e^(tan x)

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

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

Differentiate the following functions with respect to e^(3x)cos2x

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

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

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

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

Differentiate the following functions with respect to tan5x^(0)

Differentiate the following functions with respect to log_(x)3

RD SHARMA-DIFFERENTIATION-Solved Examples And Exercises
  1. If x=cost"and"y=sint ,"p r o v et h a t"(dy)/(dx)=1/(sqrt(3))"at"t=(2...

    Text Solution

    |

  2. Differentiate the following functions with respect to cos(logx)^2

    Text Solution

    |

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

    Text Solution

    |

  4. Differentiate the following functions with respect to x : (i)log(c...

    Text Solution

    |

  5. Find (dy)/(dx), y=x^x+x^(1/x)

    Text Solution

    |

  6. Differentiate the following function 3e^(-3x)"log"(1+x)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. Find (dy)/(dx) in each of the following: 4x+3y="log"(4x-3y)

    Text Solution

    |

  10. Find (dy)/(dx) in each of the following: x^(2/3)+y^(2/3)=a^(2/3)

    Text Solution

    |

  11. Find (dy)/(dx) in each of the following: x y=c^2

    Text Solution

    |

  12. Differentiate the following function with respect to x : cos^(-1){(x+...

    Text Solution

    |

  13. Differentiate the following function with respect to x : sin^(-1){...

    Text Solution

    |

  14. Differentiate the following function with respect to x : t a n^(-1...

    Text Solution

    |

  15. Differentiate the following function with respect to x : sin^(-1...

    Text Solution

    |

  16. Differentiate the following function with respect to x : tan^-1(x/(...

    Text Solution

    |

  17. Differentiate the following functions with respect to 3^{x^2}+2x

    Text Solution

    |

  18. Differentiate the following function from first principles: e^(3x)

    Text Solution

    |

  19. Differentiate the following functions with respect to 3^{e^x}

    Text Solution

    |

  20. Differentiate the following function with respect to x : sin ^{-1}{...

    Text Solution

    |