Home
Class 12
MATHS
y=tan^(-1)((acosx-bsinx)/(bcosx+asinx)),...

`y=tan^(-1)((acosx-bsinx)/(bcosx+asinx)), `where `-pi/2ltxltpi`and `a/btanx gt -1`

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

y=tan^(-1)((acosx-bsinx)/(bcosx+asinx)),w h e r e-pi/2 -1

Simplify tan^(-1)[(acosx-bsinx)/(bcosx+asinx)], if a/btanx > -1 .

Differentiate the following functions with respect to x : tan^(-1)((a+x)/(1-a x)) (ii) tan^(-1)((acosx-bsinx)/(bcosx+asinx)) , -pi/2 -1

Differentiate the following functions with respect to x : tan^(-1)((a+x)/(1-a x)) (ii) tan^(-1)((acosx-bsinx)/(bcosx+asinx)),\ -pi/2 -1

(dy)/(dx) for y=tan^(-1){sqrt((1+cosx)/(1-cosx))} ,where 0 lt x lt pi , is

The value of cot^(-1){(sqrt(1-sinx)+sqrt(1+sinx))/(sqrt(1-sinx)-sqrt(1+sinx))} , where (pi)/2ltxltpi , is

Express each of the following in the simplest form: tan^(-1){(cosx)/(1-sinx)} ,where -pi/2 < x < pi/2 (ii) tan^(-1)((cosx-sinx)/(cosx+sinx)) , -pi/4 < x < pi/4

int_0^(pi/2)dx/(acosx+bsinx);a,b>0

Differentiate the following functions with respect to x : tan^(-1){sqrt((1+sinx)/(1-sinx))},-pi/2ltxltpi/ 2

Differentiate the following functions with respect to x : tan^(-1){sqrt((1+sinx)/(1-sinx))},- pi/2ltxltpi/ 2

RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. Differentiate the following functions with respect to x : tan^(-1)((...

    Text Solution

    |

  2. Differentiate the following functions with respect to x : tan^(-1)((3...

    Text Solution

    |

  3. y=tan^(-1)((acosx-bsinx)/(bcosx+asinx)), where -pi/2ltxltpiand a/btanx...

    Text Solution

    |

  4. Differentiate the following functions with respect to x : tan^(-1){(...

    Text Solution

    |

  5. Differentiate the following functions with respect to x : tan^(-1){s...

    Text Solution

    |

  6. Differentiate the following functions with respect to x : tan^(-1){s...

    Text Solution

    |

  7. Differentiate the following functions with respect to x : tan^(-1){(...

    Text Solution

    |

  8. Differentiate the following functions with respect to x : tan^(-1){sqr...

    Text Solution

    |

  9. Differentiate the following functions with respect to x : tan^(-1)(s...

    Text Solution

    |

  10. Differentiate (2^xcotx)/(sqrt(x)) with respect to x .

    Text Solution

    |

  11. Differentiate e^xlogsqrt(x)tanx with respect to x .

    Text Solution

    |

  12. Differentiate (e^x+sinx)/(1+logx) with respect to x .

    Text Solution

    |

  13. Differentiate (sinx-xcosx)/(xsinx+cosx) with respect to xdot

    Text Solution

    |

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

    Text Solution

    |

  15. If f(x)=|cosx| , find f^(prime)(pi/4) and f^(prime)((3pi)/4) .

    Text Solution

    |

  16. If f(x)=|cosx-sinx| , find f^(prime)(pi/6) and f^(prime)(pi/3) .

    Text Solution

    |

  17. If f(x)=|logx|,x>>0,fin df^(prime)(1/e)a n df^(prime)(e)dot

    Text Solution

    |

  18. Differentiate e^(x^2) with respect to x from first-principles

    Text Solution

    |

  19. Differentiate e^(2x) with respect to x from first principles

    Text Solution

    |

  20. Differentiate e^(sqrt(x)) with respect to x from first-principles

    Text Solution

    |