Home
Class 11
MATHS
Differentiate the following function wit...

Differentiate the following function with respect of `x : x^ntanx`

Text Solution

Verified by Experts

`x^{n} tan x`

`Rightarrow frac{d}{d x}(x^{n} tan x)`

`frac{d}{d x}(x^{n}) tan x+x^{n} frac{d}{d x} tan x`

`n x^{n-1} tan x+x^{n} sec ^{2} x`

`arrow x^{n-1}(n tan x+x sec ^{2} x)`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    RD SHARMA|Exercise Solved Examples And Exercises|267 Videos
  • ELLIPSE

    RD SHARMA|Exercise Solved Examples And Exercises|97 Videos

Similar Questions

Explore conceptually related problems

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

Differentiate the following function with respect of x:(x tan x)/(sec x+tan x)

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

Differentiate the following function with respect of x:(x)/(1+tan x)

Differentiate the following function with respect of x:(x)/(1+tan x)

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

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

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

Differentiate the following function with respect of x:sin x cos x

Differentiate the following function with respect of x:x^(n)(log)_(a)x

RD SHARMA-DERIVATIVES-Solved Examples And Exercises
  1. Using mathematical induction prove that : d/(dx)(x^n)=n x^(n-1) for al...

    Text Solution

    |

  2. Differentiate the following function with respect of x : x^3sinx

    Text Solution

    |

  3. Differentiate the following function with respect of x : x^ntanx

    Text Solution

    |

  4. Differentiate the following function with respect of x: sinxcosx

    Text Solution

    |

  5. Differentiate the following function with respect of x : x^5e^x+x^6log...

    Text Solution

    |

  6. Differentiate the following function with respect of x :(1+x^2)cosx

    Text Solution

    |

  7. Differentiate the following function with respect of x : e^xlogsqrt(x)...

    Text Solution

    |

  8. Differentiate the following function with respect of x : x^5(3-6x^(-9)...

    Text Solution

    |

  9. Differentiate the following function with respect of x :(a x+b)/(c x+d...

    Text Solution

    |

  10. Differentiate the following function with respect of x : x^3e^x

    Text Solution

    |

  11. Differentiate the following function with respect of x : x^n\loga x

    Text Solution

    |

  12. Differentiate the following function with respect of x :(2^x cot x)/(s...

    Text Solution

    |

  13. Differentiate the following function with respect of x: (sinx+cosx)/(s...

    Text Solution

    |

  14. Differentiate the following function with respect of x :sin^2x

    Text Solution

    |

  15. Differentiate the following function with respect of x: x^3 \ e^x \ co...

    Text Solution

    |

  16. Differentiate the following function with respect of x"\ ": x^(-4)(3-4...

    Text Solution

    |

  17. Differentiate the following function with respect of x :(x^3+x^2+1)sin...

    Text Solution

    |

  18. Differentiate the following function with respect of x: x^2sinx \ logx

    Text Solution

    |

  19. Differentiate the following function with respect of x :(1-2tanx)(5+4s...

    Text Solution

    |

  20. Differentiate the following function with respect of x :(log)(x^2)x

    Text Solution

    |