Home
Class 12
MATHS
For the curve sqrt(x)+sqrt(y)=1 , (dy)/(...

For the curve `sqrt(x)+sqrt(y)=1` , `(dy)/(dx)` at `(1//4,\ 1//4)` is
(a)`1//2`
(b) 1
(c) -1
(d) 2

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA ENGLISH|Exercise All Questions|107 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|90 Videos

Similar Questions

Explore conceptually related problems

For the curve sqrt(x)+sqrt(y)=1 , (dy)/(dx) at (1//4,\ 1//4) is 1//2 (b) 1 (c) -1 (d) 2

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

If y=sqrt(x)+(1)/(sqrt(x)) , then (dy)/(dx) at x=1 is

If x=sqrt(1-y^2) , then (dy)/(dx)=

If e^x=(sqrt(1+t)-sqrt(1-t))/(sqrt(1+t)+sqrt(1-t))a and tany/2=sqrt((1-t)/(1+t)) ,then (dy)/(dx) at t=1/2 is (a) -1/2 (b) 1/2 (c) 0 (d) none of these

If y=sqrt(x)+1/(sqrt(x)) , then (dy)/(dx) \ at \ x=1 is a. 1 b. 1/2 c. 1/(sqrt(2)) d. 0

If y="sec"(tan^(-1)x), then (dy)/(dx) at x=1 is equal to: 1/(sqrt(2)) (b) 1/2 (c) 1 (d) sqrt(2)

If y="sec"(tan^(-1)x), then (dy)/(dx) at x=1 is equal to: 1/(sqrt(2)) (b) 1/2 (c) 1 (d) sqrt(2)

Let y=sqrt(x+sqrt(x+sqrt(x+oo))) , (dy)/(dx) is equal to (a) 1/(2y-1) (b) x/(x+2y) (c) 1/(sqrt(1+4x) (d) y/(2x+y)

Area common to the curves y=sqrt(x) and x=sqrt(y) is (A) 1 (B) 2/3 (C) 1/3 (D) none of these

RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. If y=sin^(-1)((1-x^2)/(1+x^2)) , then (dy)/(dx)= (a)-2/(1+x^2) (b) 2/...

    Text Solution

    |

  2. The derivative of sec^(-1)(1/(2x^2-1)) with respect to sqrt(1+3x) at x...

    Text Solution

    |

  3. For the curve sqrt(x)+sqrt(y)=1 , (dy)/(dx) at (1//4,\ 1//4) is (a)...

    Text Solution

    |

  4. If sin(x+y)=log(x+y) , then (dy)/(dx)= (a) 2 (b) -2 (c) 1 (d)...

    Text Solution

    |

  5. Let U=sin^(-1)((2x)/(1+x^2)) and V=tan^(-1)((2x)/(1-x^2)) , then (d U)...

    Text Solution

    |

  6. d/ dx { tan^ −1 ( cosx/ (1+sinx) ) } equals (a)1...

    Text Solution

    |

  7. d/(dx)[log{e^x((x-2)/(x+2))^(3//4)}] equals (a) (x^2-1)/(x^2-4) (b...

    Text Solution

    |

  8. If y=sqrt(sinx+y) , then (dy)/(dx)= (a)(sinx)/(2y-1) (b) (sinx)/(...

    Text Solution

    |

  9. If 3sin(x y)+4cos(x y)=5 , then (dy)/(dx)= (a) y/x (b) (3sin(x y)+4...

    Text Solution

    |

  10. If siny=xsin(a+y) , then (dy)/(dx) is (a)(sina)/(sina sin^2(a+y)) (...

    Text Solution

    |

  11. The derivative of cos^(-1)(2x^2-1) with respect to cos^(-1)x is (a) ...

    Text Solution

    |

  12. If f(x)=sqrt(x^2+6x+9) , then f^(prime)(x) is equal to (a) 1 for x<-3 ...

    Text Solution

    |

  13. If f(x)=|x^2-9x+20| , then f^(prime)(x) is equal to (a) -2x+9 for all ...

    Text Solution

    |

  14. If f(x)=sqrt(x^2-10 x+25) , then the derivative of f(x) in the inte...

    Text Solution

    |

  15. If f(x)=|x-3| and g(x)=fof\ (x) , then for x > 10 , g^(prime)(x) is eq...

    Text Solution

    |

  16. If f(x)=((x^l)/(x^m))^(l+m)((x^m)/(x^n))^(m+n)((x^n)/(x^l))^(n+l) , th...

    Text Solution

    |

  17. If y=1/(1+x^(a-b)+x^(c-b))+1/(1+x^(b-c)+x^(a-c))+1/(1+x^(b-a)+x^(c-a)...

    Text Solution

    |

  18. If sqrt(1-x^6) then find dy/dx

    Text Solution

    |

  19. If y=logsqrt(tanx) , then the value of (dy)/(dx) at x=pi/4 is given by...

    Text Solution

    |

  20. If sin^(-1)((x^2-y^2)/(x^2+y^2))=loga then (dy)/(dx) is equal to (a)...

    Text Solution

    |