Home
Class 12
MATHS
If sqrtx+sqrty=4, then dy/dx is...

If `sqrtx+sqrty=4, then dy/dx is`

A

`-sqrt((x/y))`

B

`-sqrt((y)/(x))`

C

`sqrt((x)/(y))`

D

`sqrt((y)/(x))`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE|588 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise EXERCISE|326 Videos

Similar Questions

Explore conceptually related problems

Fill in the blanks: For the curve sqrtx + sqrty = 1, dy/dx at (1/4, 1/4) is …………….

If x = 4at , y = at^4 , then dy/dx is equal to :

If sqrtx + sqrty = sqrtx , find (d^2y)/(dx^2) at x = a

If y=sqrtx+1/(sqrtx) , then show that 2x(dy)/(dx) +y = 2√ x

If x=4at,y=at^(4) , then (dy)/(dx) is equal to____

If y= 3x^4 + 5 then dy/dx

Find the equation of the tangent to the curve sqrtx + sqrty = a at the point ((a^2)/4, (a^2)/4) a > 0

If y = sin^-1[xsqrt(1-x) - sqrtx (sqrt(1-x^2))] find dy/dx

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. If f(x) = {:{((x^2-(a+2)x+a)/(x-2), x ne2),(2,x=2):} is continuous at ...

    Text Solution

    |

  2. Let g(x) = ((x-1)^3)/(log(x-1)) Find g(5).

    Text Solution

    |

  3. Let y be an implict function of x defined by x^(2x) - 2x^x cot y -1 =0...

    Text Solution

    |

  4. Let f: (-1,1) rarr R be a differentiable function with f(0) = -1 and ...

    Text Solution

    |

  5. If 'f' is differentiable at x = a, find (underset(xrarra)lim(x^2f(a)-a...

    Text Solution

    |

  6. If f: R rarr R is a function defined by: f(x) = [x] cos((2x-1)/2)pi, ...

    Text Solution

    |

  7. Let f(x)={x^2|(cos)pi/x|, x!=0 and 0,x=0,x in RR, then f is a. differ...

    Text Solution

    |

  8. If y = sec(tan^-1x), then dy/dx at x =1 is equal to

    Text Solution

    |

  9. If g is te inverse of a function f and f'(x) = 1/(1+x^5) then g'(x) is...

    Text Solution

    |

  10. If the function g(x) = {{:(k sqrt(x + 1)",", 0 le x le 3),(mx + 2",",3...

    Text Solution

    |

  11. For x in R, f(x) = |log 2 - sin x| and g(x) = f(f(x)), then

    Text Solution

    |

  12. A function f: R rarr R is defined as follows: f(x) = {:{(x,ifxle1),(...

    Text Solution

    |

  13. If sqrtx+sqrty=4, then dy/dx is

    Text Solution

    |

  14. Find dy/dx when x = 4t, y = 4/t

    Text Solution

    |

  15. The funtion f(x) is defined as follows: f(x) = {:{(x^2+ax+b,0lex<2),...

    Text Solution

    |

  16. If y = tan^(-1)((sqrt(1 + x^2) - sqrt(1 - x^2))/(sqrt(1 + x^2) + sqrt(...

    Text Solution

    |

  17. If x^Y = e^[X - Y], prove that dy/dx= log x/(1+logx)^2.

    Text Solution

    |

  18. If y = e^[ax] sin bx, prove that d^2y/dx^2 - 2a dy/dx +(a^2 + b^2 ) y ...

    Text Solution

    |

  19. Verify Rolle's theorem for function f(x) = sin x + cos x in the interv...

    Text Solution

    |

  20. Finddy/dx, if y^x+x^y+x^x = a^b

    Text Solution

    |