Home
Class 12
MATHS
Find (dy)/(dx) att = 1/2 when x = (at^2)...

Find `(dy)/(dx)` at`t = 1/2` when `x = (at^2)`, y=2at.

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    SHARAM PUBLICATION|Exercise EXAMPLE|118 Videos

  • DETERMINANT

    SHARAM PUBLICATION|Exercise EXAMPLE|90 Videos

Similar Questions

Explore conceptually related problems

Find (dy)/(dx) when y=x^y .

Find, (dy)/(dx) when y=x^x .

Find (dy)/(dx) , when 2x+3y=siny .

Find (dy)/(dx) when y = log|x| .

Find (dy)/(dx) when sinxy+x^(2)y=e^(x)

Find the dy/dx when sin x = (2t)/(1+t^2), tan y = (2t)/(1-t^2)

Find (dy)/(dx) , when sin(x+y)=x^(2)+y^(2)

Find dy/dx if y^2 = x^y

Find (dy)/(dx) , when x=cos^(2)theta and y=sin^(2)theta

Find (dy)/(dx) when y=x^(siny)

SHARAM PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXAMPLE
  1. What is the derivative of cosec^(-1) x w.r.t x when |x|>1.

    Text Solution

    |

  2. Find (dy)/(dx)when y = log|x|.

    Text Solution

    |

  3. Find (dy)/(dx) att = 1/2 when x = (at^2), y=2at.

    Text Solution

    |

  4. Find d/(dx) In sin^(-1)cos((pi-2e^x)/2).

    Text Solution

    |

  5. If y=tan^(-1)((a)/(x))+logsqrt((x-a)/(x+a)), then prove that (dy)/(dx)...

    Text Solution

    |

  6. If (tan^(-1)x)^y + y^(cotx) =1then find (dy)/(dx).

    Text Solution

    |

  7. If x^y = e^(x-y) then prove that (dy)/(dx)=logx/(1+logx)^2.

    Text Solution

    |

  8. If y =x log (x/(a+bx))then prove that x^3(d^2y)/(dx^2)=(x(dy)/(dx)-y)^...

    Text Solution

    |

  9. If y=(sinx)^(x)+sin^(-1)sqrt(x), then find (dy)/(dx).

    Text Solution

    |

  10. If x=2cos theta-cos 2theta and y=2sin theta-sin 2 theta, then prove th...

    Text Solution

    |

  11. Differentiate the following function w.r.t. x, (logx)^(x)+x^(logx).

    Text Solution

    |

  12. If y=log[x+sqrt(x^(2)+1)], then prove that (x^(2)+1)(d^(2)y)/(dx^(2))+...

    Text Solution

    |

  13. If x=acos^(3)theta,y=a sin^(3)theta,then find (d^2y)/dx^(2)

    Text Solution

    |

  14. If sin y = x sin (a + y) then show that (dy)/(dx)=(sin^2(a+y))/(sina)

    Text Solution

    |

  15. Find dy/dx if x^m y^n = (x/y)^(m+n)

    Text Solution

    |

  16. Find (dy)/(dt), when y=sin^(-1)(2sqrt(t^(2)-1)/(t^(2)))

    Text Solution

    |

  17. If x=asec theta, y=b tan theta, then prove that (d^(2)y)/(dx^(2))=-(b^...

    Text Solution

    |

  18. IF x^y=e^(x-y) then show that (dy)/(dx)=(logx)/[log(xe)]^2.

    Text Solution

    |

  19. If sin y = x sin (a + y) then show that (dy)/(dx)=(sin^2(a+y))/(sina)

    Text Solution

    |

  20. If x=a(cost+tsint) and y=a(sint-tcost), then find (d^(2)y)/(dx^(2)) at...

    Text Solution

    |