Home
Class 12
MATHS
lf y=sqrt((1-x)/(1+x)) find dy/dxand pro...

lf `y=sqrt((1-x)/(1+x))` find `dy/dx`and prove that `(1-x^2)(dy)/(dx)+y=0`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

If y=sqrt((1-x)/(1+x)) , prove that , (1-x^(2)) (dy)/(dx)+y=0

If y=sin^(-1) x, prove that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)=0

If y=(1-x)tan(x/2) , then find dy/dx

If y=sqrt((1-x)/(1+x)) ,prove that (1-x^2)dy/dx+y=0

If y=((1+x)/(1-x))^(n) , prove that (1-x^(2))(d^(2)y)/(dx^(2))=2(n+x)(dy)/(dx).

If y = (x)/(x + 4) prove that x(dy)/(dx)+y (y-1) = 0

If y=1/(1 + 1/x) , then find dy/dx

If y="("x+sqrt(x^(2)-1)")"^(m) , then prove that, (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)+m^(2)y=0

If y=(1)/(2 sin x-1) , then find dy/dx

If ye^y=x prove that (dy)/(dx)= y/(x(1+y))

PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
  1. Consider the function f(x)=8x^2-7x+5 on the interval [-6,6] .the valu...

    Text Solution

    |

  2. Given, f(x)=(x-1)/(2x^2-7x+5) when xne1 Find the derivative of f(x) a...

    Text Solution

    |

  3. lf y=sqrt((1-x)/(1+x)) find dy/dxand prove that (1-x^2)(dy)/(dx)+y=0

    Text Solution

    |

  4. if y=x^3 then prove that xdy/dx-3y=0

    Text Solution

    |

  5. Find the intervals in which the following functions are increasing or ...

    Text Solution

    |

  6. Find the intervals in which the follwing functions are increasing or d...

    Text Solution

    |

  7. Find the intervals in which the follwing functions are increasing or d...

    Text Solution

    |

  8. Find lim(x->0)(sin(pisin^2(x))/x^2)

    Text Solution

    |

  9. lim(x to 0) (1-cosx)/x^2 = ?

    Text Solution

    |

  10. If f(x)=ax^3+bx^2+cx+d has local extrema at two points of opposite si...

    Text Solution

    |

  11. Prove that if 2a0^2lt15a all roots of x^5-a0x^4+3ax^3+bx^2+cx+d=0 can...

    Text Solution

    |

  12. Let a,b,c be real. If ax^2+bx+c=0 has two real roots alpha,beta where ...

    Text Solution

    |

  13. Let a+b=4, where a gt 2 and let g(x)be a differentiable function. If ...

    Text Solution

    |

  14. On the curve x^3=12y the abscissa changes at a faster rate than the or...

    Text Solution

    |

  15. A spherical iron ball 10 cm in radius is coated with a layer of ice of...

    Text Solution

    |

  16. The function f(x)=tan^(-1)x-x decreases in the interval

    Text Solution

    |

  17. The function f(x)=2log(x-2)-x^2+4x+1 increases in the interval

    Text Solution

    |

  18. The function f(x)=sin^4x+cos^4x increasing if :

    Text Solution

    |

  19. The length of the longest interval in which the function 3sinx-4sin^3x...

    Text Solution

    |

  20. The function f(x) =tan^(-1)(sinx+cosx) is an increasing function in

    Text Solution

    |