Home
Class 12
MATHS
If tan y=(tan x+sec x-1)/(tan x-sec x+1...

If `tan y=(tan x+sec x-1)/(tan x-sec x+1), " show that, " (dy)/(dx)=(1)/(2)`.

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise EXERCISE 3B (Multiple Choice Type Questions)|9 Videos

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise EXERCISE 3B (Very Short Answer Type Questions)|33 Videos

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise EXERCISE 3A ( Short Answer Type Questions)|72 Videos

  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise E ASSERTION-REASON TYPE|2 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

If tan y = (tan x+sec x-1)/(tanx -sec x+1) show that (dy)/(dx) = 1/2

If y= tan^(-1)((a cos x-b sin x)/(b cos x+a sin x))" show that, " (dy)/(dx)= -1 .

If.y = tan^-1 (sec x + tan x) , show that , dy/dx=1/2 .

int (tan^(2)x)/(sec x -1)dx

If log(x^2+y^2)=2tan^(-1)(y/x), show that (dy)/(dx)=(x+y)/(x-y)

If y=[(tan x)^(tan x)]^(tan x)," find " (dy)/(dx)" at " x=(pi)/(4) .

If x="tan"(y)/(2)+"log tan"(y)/(2)-2log(1+"tan"(y)/(2)) , show that, (dy)/(dx)=(1)/(2)"sin"(1+sin y+cos y)

If y=(tan^-1x)^2 , show that, (1+x^2)^2(d^2y)/(dx^2)+2x(1+x^2)dy/dx-2=0 .

int ("tan"x)/(1 + tan x )dx

"If "y=(tan x)^((tan x)^(tan x))," then find "(dy)/(dx).

CHHAYA PUBLICATION-DIFFERENTIATION-EXERCISE 3A ( Long Answer Type Questions)
  1. If y=[(tan x)^(tan x)]^(tan x)," find " (dy)/(dx)" at " x=(pi)/(4).

    Text Solution

    |

  2. If y=(1+sin theta+cos theta)/(1+sin theta-cos theta)," show that, " (...

    Text Solution

    |

  3. If tan y=(tan x+sec x-1)/(tan x-sec x+1), " show that, " (dy)/(dx)=(1...

    Text Solution

    |

  4. If y= tan^(-1)((a cos x-b sin x)/(b cos x+a sin x))" show that, " (dy...

    Text Solution

    |

  5. If cosy=x cos(a+y)," prove that " (dy)/(dx) =(cos^(2)(a+y))/(sin a), ...

    Text Solution

    |

  6. If y^(x)=e^(y-x)" prove that, " (dy)/(dx)=((logey)^(2))/(log y).

    Text Solution

    |

  7. If y= (x)/(2) sqrt(x^(2)-a^(2))-(a^(2))/(2) log (x+sqrt(x^(2)-a^(2)))...

    Text Solution

    |

  8. If y= 2"sin"^(-1)(x-2)/(sqrt(6))-sqrt(2+4x-x^(2)), show that (dy)/(dx...

    Text Solution

    |

  9. If f(x)=((a+x)/(1+x))^(a+1+2x), show that f'(0) =a^(a+1)[2log a+(1-a^...

    Text Solution

    |

  10. If f(x)=((a+x)/(b+x))^(x)+cosx find f'(0).

    Text Solution

    |

  11. If y=tan^(-1) [(sqrt(1+t^(2))+sqrt(1-t^(2)))/(sqrt(1+t^(2))-sqrt(1-t^...

    Text Solution

    |

  12. If y="cot"^(-1) (sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x)), show tha...

    Text Solution

    |

  13. If (1+x)^(n)=^(n)C(0)+^(n)C(1)x+^(n)C(2)x^(2)+…+^(n)C(n)x^(n), prove t...

    Text Solution

    |

  14. If (1+x)^(n)=^(n)C(0)+^(n)C(1)x+^(n)C(2)x^(2)+…+^(n)C(n)x^(n), prove t...

    Text Solution

    |

  15. If siny=x sin(a+y), prove that, (dy)/(dx)=(sin a)/(1-2x cos a +x^(2)).

    Text Solution

    |

  16. If y=|(f(x),g(x),h(x)),(l,m,n),(a, b,c)|, prove that, (dy)/(dx)=|(f'(x...

    Text Solution

    |

  17. If x^(2)+y^(2)=t+(1)/(t) and x^(4)+y^(4)=t^(2)+(1)/(t^(2)) then show t...

    Text Solution

    |

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

    Text Solution

    |

  19. Using the method of differentiation deduce the formula of : cos(x+a...

    Text Solution

    |

  20. Using the method of differentiation deduce the formula of : sin(x+a...

    Text Solution

    |