Home
Class 12
MATHS
If x=sqrt(a^(sin^-1 t),y=sqrt(a^(cos^-1 ...

If `x=sqrt(a^(sin^-1 t)`,`y=sqrt(a^(cos^-1 t)` Show that `dy/dx=(-y)/x`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|47 Videos

  • DETERMINANTS

    A N EXCEL PUBLICATION|Exercise QUESTION TYPE|83 Videos

Similar Questions

Explore conceptually related problems

Find dy/dx of x=sqrt(a^(sin^-1t) y=sqrt(a^(cos^-1t)

If x=a^(sin^(-1)t) , y=a^(cos^(-1)t) , a>0 , show that dy/dx=-y/x

If e^y(x+1)=1 . Show that dy/dx=-e^y

If y=[x+sqrt(x^2+9)]^n , show that dy/dx=(ny)/(sqrt(x^2+9)

Given, y=sqrt(tan^-1x show 2(1+x^2)ydy/dx=1

Consider the equation sqrt(1-x^2)+sqrt(1-y^2)=a(x-y) Prove that dy/dx=sqrt((1-y^2)/(1-x^2)

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

If y=log(1/x) , show that dy/dx+e^y=0

If int_(pi//3)^(x)sqrt((3-sin^(2)t))dt+int_(0)^(y)cost dt =0 then (dy)/(dx) is

A N EXCEL PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. Find dy/dx,x=asectheta,y=btantheta

    Text Solution

    |

  2. Find dy/dx of x=a(costheta+thetasintheta) , y=a(sintheta-thetacosthe...

    Text Solution

    |

  3. If x=sqrt(a^(sin^-1 t),y=sqrt(a^(cos^-1 t) Show that dy/dx=(-y)/x

    Text Solution

    |

  4. Find second order derivative for y=3x^4+4x^2-x+1

    Text Solution

    |

  5. Find second order derivative for y= xsinx

    Text Solution

    |

  6. Find second order derivative for f(x)=cos2x

    Text Solution

    |

  7. Find second order derivative for y=(logx)/x

    Text Solution

    |

  8. Find second order derivative for x=ct and y=c/t

    Text Solution

    |

  9. Find (d^2y)/dx^2, if y=x^3+tanx

    Text Solution

    |

  10. y=acosx+bsinx is the solution of the differential equation (d^2y)/...

    Text Solution

    |

  11. If y=3e^(2x)+2e^(3x), prove that (d^2y)/(dx^2)-5dy/dx+6y=0

    Text Solution

    |

  12. If y=sin^-1x,then show that (1-x^2)(d^2y)/dx^2-xdy/dx=0

    Text Solution

    |

  13. Find the second order derivative of the following functions x^2+3x+2

    Text Solution

    |

  14. Find the second order derivative of the following functions x^20

    Text Solution

    |

  15. Find the second order derivative of the following functions xcosx

    Text Solution

    |

  16. Find the second order derivative of the following functions logx

    Text Solution

    |

  17. Find the second order derivative of the following functions x^3logx

    Text Solution

    |

  18. Find the second order derivative of the following functions e^xsin5x

    Text Solution

    |

  19. Find the second order derivative of the following functions e^(6x)cos3...

    Text Solution

    |

  20. Find the second order derivative of the following functions tan^(-1)x

    Text Solution

    |