Home
Class 11
MATHS
If sqrt(x) +sqrt(y)=4, f i n d (dx/dy) a...

If `sqrt(x)` +`sqrt(y)=4, f i n d (dx/dy) a t (y = 1).`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

If y=cos^(-1){(2x-3sqrt(1-x^2))/(sqrt(13))},"f i n d"(dy)/(dx)

y=tan^(- 1)sqrt((1-x)/(1+x))f i n d(dy)/(dx)

If y=tan^(-1){(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))},"f i n d"(dy)/(dx)

If y=sin[2t a n^(-1){sqrt((1-x)/(1+x))}],"f i n d"(dy)/(dx)

If y=log((x^2+x+1)/(x^2-x+1))+2/(sqrt(3))t a n^(-1)((sqrt(3)x)/(1-x^2)),"f i n d"(dy)/(dx)

If y(x) is a solution of differential equation sqrt(1-x^2) dy/dx + sqrt(1-y^2) = 0 such that y(1/2) = sqrt3/2 , then

Let a solution y = y(x) of the differential equation xsqrt(x^2-1) dy - y sqrt(y^2-1) dx=0 , satisfy y(2)= 2/sqrt 3

Solve the following differential equation: [(e^(-2\ sqrt(x)))/(sqrt(x))-y/(sqrt(x))](dx)/(dy)=1,\ x\ !=0

Solve the differential equation [(e^(-2sqrt(x)))/(sqrt(x))-y/(sqrt(x))](dx)/(dy)=1(x!=0)

Statement 1: If e^(xy)+ln(xy)+cos(xy)+5=0, then (dy)/(dx)=-y/x . Statement 2: d/(dx)(xy)=0,y is a function of x implies(dy)/(dx)=-y/x .

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. If x^y=e^(x-y), Prove that (dy)/(dx)=(logx)/((1+logx)^2)

    Text Solution

    |

  2. Let f(x)=(sqrt(x-2sqrt(x-1)))/(sqrt(x-1)-1)xdot Then (a)f^(prime)(10...

    Text Solution

    |

  3. If sqrt(x) +sqrt(y)=4, f i n d (dx/dy) a t (y = 1).

    Text Solution

    |

  4. If y=(x^4-x^2+1)/(x^2+sqrt(3)x+1) and (dy)/(dx)=a x+b , then the value...

    Text Solution

    |

  5. If x y+y^2=tanx+y ,then find (dy)/(dx)

    Text Solution

    |

  6. Which of the following is/are true? (dy)/(dx)fory=sin^(-1)(cosx),w h e...

    Text Solution

    |

  7. If y=sqrt(x+sqrt(y+sqrt(x+sqrt(y+oo)))),t h e np rov et h a t(dy)/(dx)...

    Text Solution

    |

  8. If y=x^((logx)^("log"(logdotx))),t h e n(dy)/(dx)i s (a)y/x(1n x^(x-...

    Text Solution

    |

  9. If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+ tooo))),p rov et h a t(dy)/(dx)=(c...

    Text Solution

    |

  10. The n t h derivative of x e^x vanishes when (a)x=0 (b) x=-1 (c)...

    Text Solution

    |

  11. If x=a(cost+1/2logtan^2t) and y=asint then find (dy)/(dx) at t=pi/4

    Text Solution

    |

  12. The derivative of tan^(-1)((sqrt(1+x^2)-1)/x) with respect to tan^(-1)...

    Text Solution

    |

  13. If x^m y^n=(x+y)^(m+n),p rov et h a t(dy)/(dx)=y/xdot

    Text Solution

    |

  14. Let g(x)=f(x)sinx ,w h e r ef(x) is a twice differentiable function on...

    Text Solution

    |

  15. If x=acos^3theta,y=a sin^3theta,then find the value of d2y/dx2 at θ=π/...

    Text Solution

    |

  16. If x=sqrt(a^(sin^(-1)t)),y=sqrt(a^(cos^(-1)t) , a >0 a n d -1 < t...

    Text Solution

    |

  17. If x/a+y/b=sqrt2 touches the ellipses x^2/a^2+y^2/b^2=1, then find the...

    Text Solution

    |

  18. If y=f((2x-1)/(x^2+1))andf^'(x)=sinx^2, then find (dy)/(dx)

    Text Solution

    |

  19. Let y=x^3-8x+7 and x=f(t). ( dy ) / ( dx ) = 2 and x=3 at t=0, then...

    Text Solution

    |

  20. If x=(2t)/(1+t^2),y=(1-t^2)/(1+t^2),then find(dy)/(dx).

    Text Solution

    |