Home
Class 12
MATHS
Find (dy)/(dx), if x^((2)/(3)) + y^((2)/...

Find `(dy)/(dx)`, if `x^((2)/(3)) + y^((2)/(3))= a^((2)/(3))`

Text Solution

Verified by Experts

The correct Answer is:
`-root(3)((y)/(x)) or - ((y)/(x))^((1)/(3))`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise NCERT Exemplar Problems and Solution (Short Answer Type Questions)|156 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise NCERT Exemplar Problems and Solution (Long Answer Type Questions)|10 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Textbook based MCQs|100 Videos

  • BOARD'S QUESTION PAPER MARCH - 2020

    KUMAR PRAKASHAN|Exercise PART - B (Section - C)|4 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

Find (dy)/(dx) , if x= a t^(2), y= 2 a t

x^(2)(dy)/(dx) = x^(2) - 2y^(2) + xy

(dy)/(dx) + 3y = e^(-2x)

Find (d^(2)y)/(dx^(2)) , if y= x^(3) + tan x

Find (dy)/(dx) in the following x^(2) + xy + y^(2) = 100

Find (dy)/(dx) in the following x^(3) + x^(2)y + xy^(2) + y^(3) = 81

The degree of the differential equation (d^(2)y)/(dx^(2))^(3) + ((dy)/(dx))^(2) + sin ((dy)/(dx)) + 1 = 0 is

KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Textbook Illustrations for Practice Work
  1. Find (dy)/(dx), if x= a t^(2), y= 2 a t

    Text Solution

    |

  2. Find (dy)/(dx), if x= a (theta + sin theta), y= a (1- cos theta)

    Text Solution

    |

  3. Find (dy)/(dx), if x^((2)/(3)) + y^((2)/(3))= a^((2)/(3))

    Text Solution

    |

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

    Text Solution

    |

  5. If y= A sin x + B cos x, then prove that (d^(2)y)/(dx^(2)) +y= 0

    Text Solution

    |

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

    Text Solution

    |

  7. If y= sin^(-1)x, show that (1 -x^(2)) (d^(2)y)/(dx^(2))-x (dy)/(dx)=0

    Text Solution

    |

  8. Verify Rolle's theorem for the function y= x^(2) + 2, a = - 2 and b= 2

    Text Solution

    |

  9. Verify Mean value Theorem for the function f(x)= x^(2) in the interval...

    Text Solution

    |

  10. Differentiate w.r.t x, the following function: (i) sqrt(3x+2) + (1)...

    Text Solution

    |

  11. Differentiate the following w.r.t x. (i) cos^(-1) (sin x) (ii) tan^...

    Text Solution

    |

  12. Find f'(x) if f(x)= (sin x)^(sin x) for all 0 lt x lt pi.

    Text Solution

    |

  13. For a positive constant a find (dy)/(dx), where y= a^(t + (1)/(t)), an...

    Text Solution

    |

  14. Differentiate sin^(2)x w.r.t e^(cos x)

    Text Solution

    |

  15. Examine the continuity of the function f(x)= 2x + 3 " at " x=1

    Text Solution

    |

  16. Prove that the function f(x)= x^(2) is continuous at x=0.

    Text Solution

    |

  17. Discuss the continuity of the function f given by f(x)= |x| " at " x=0...

    Text Solution

    |

  18. Show that f(x)= {(x^(3)+3",",x ne0),(1",",x=0):} is a discontinuous fu...

    Text Solution

    |

  19. Check the points where the constant function f(x)= k is continuous

    Text Solution

    |

  20. Prove that the identity function on real numbers given by f(x)=x is co...

    Text Solution

    |