Home
Class 12
MATHS
Find dy/dx if (sinx)^(cosy) = (cosy)^(si...

Find dy/dx if `(sinx)^(cosy) = (cosy)^(sinx)`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|53 Videos

  • DETERMINANTS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|116 Videos

Similar Questions

Explore conceptually related problems

Find dy/dx if sinx+cosy=xy

Find dy/dx if y=(sinx)^(logx) .

Find dy/dx of (cosx)^y=(cosy)^x

Find dy/dx if y=sin(x^sinx)

u=(sinx)^(tanx) , v=(cosx)^(secx) Find dy//dx . if y=(sinx)^(tanx)+(cosx)^(secx)

Find dy/dx if y=(4+5sinx)/(3+7cosx)

Find (dy)/(dx) if ax+by^2=cosy

Find dy/dx , if y=(sinx)^logx , sinx>0

Find dy/dx if y=x^sinx,x>0 .

Find (dy)/(dx) if 2x+3y=sinx

BODY BOOKS PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. if y=e^(a cos^-1x),-1lexle1, show that dy/dx= (-ae^(acos^-1x))/(...

    Text Solution

    |

  2. If y=e^(acos^-1x) , then show that (1-x^2)y2-xy1-a^2y=0

    Text Solution

    |

  3. Find dy/dx if (sinx)^(cosy) = (cosy)^(sinx)

    Text Solution

    |

  4. Find all points of discontinuity of f where f is defined by f(x)={(2x+...

    Text Solution

    |

  5. If e^(x-y)=x^y then prove that dy/dx=logx/[logex]^2

    Text Solution

    |

  6. Find dy/dx if x^3+2x^2y+3xy^2+4y^3=5

    Text Solution

    |

  7. Find dy/dx if x=2cos^3theta,y=2sin^3theta.

    Text Solution

    |

  8. Find dy/dx of y=sin^-1 2xsqrt(1-x^2) (-1)/sqrt2<x<1/sqrt2

    Text Solution

    |

  9. Find the value of k if the function f(x) = kx+1 if x<5 ...

    Text Solution

    |

  10. Find dy/dx, If x=a(t-sint) , y=a(1+cost)

    Text Solution

    |

  11. Verify Rolle's theorem for the function f(x)=x^2+2 in the interval [...

    Text Solution

    |

  12. Consider f(x)={(3x-8,xle5),(2k,x>5):} . Find the value of k if f(x) is...

    Text Solution

    |

  13. Find dy/dx , if y=(sinx)^logx , sinx>0

    Text Solution

    |

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

    Text Solution

    |

  15. Determine the value of k so that the function f(x)={(k(x^2+x+1),x<0)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Find the values of k so that function f is continuous at the indicated...

    Text Solution

    |

  19. Find dy/dx if y=x^sinx,x>0.

    Text Solution

    |

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

    Text Solution

    |