Home
Class 12
MATHS
Find (dy)/(dx), if x=sqrt(sin2u) and y=s...

Find `(dy)/(dx)`, if `x=sqrt(sin2u)` and `y=sqrt(cos2u)`

Promotional Banner

Topper's Solved these Questions

  • INTEGRATION AREA UNDER PLANE CURVES DIFFERENTIAL EQUATION

    USHA PUBLICATION|Exercise EXERCISE|89 Videos

Similar Questions

Explore conceptually related problems

Find the dy/dx when x = sqrt(sin 2u), y = sqrt(cos 2u)

Find dy/dx if y = sin y)^(sin 2x)

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

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

Find (dy)/(dx) if y=(1)/(sqrt(a^(2)-x^(2)))

Find (dy)/(dx) , if y=sin^-1((sqrt(1+x)+sqrt(1-x))/2), -1ltxlt1

Find dy/dx if (cos x)^y = sin y

If x=(sin^(3)t)/(sqrt(cos2t)) and y=(cos^(3)t)/(sqrt(cos2t)) , then find (dy)/(dx) .

USHA PUBLICATION-CONTINUITY AND DIFFERENTIABILITY APPLICATION OF DERIVATIVES -EXERCISE
  1. If y = tan^-1(secx+tanx), then find (dy)/(dx).

    Text Solution

    |

  2. Find (dy)/(dx), if y=sin^-1((sqrt(1+x)+sqrt(1-x))/2), -1ltxlt1

    Text Solution

    |

  3. Find (dy)/(dx), if x=sqrt(sin2u) and y=sqrt(cos2u)

    Text Solution

    |

  4. Find (dy)/(dx), if x=a(t-sint), y=a(1-cost)at t=(pi)/2

    Text Solution

    |

  5. If ysqrt(x^2 +1) = log{sqrt(x^2 +1)- x} then prove that (x^2 +1) dy/dx...

    Text Solution

    |

  6. If cos y = x cos(a+y) then prove that dy/dx = (cos^2(a+y))/sin a

    Text Solution

    |

  7. Write the subinterval of (0,pi) in which sin (x+pi/4) is increasing.

    Text Solution

    |

  8. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  9. Show that the line y = mx + c touches the parabola y^(2) = 4ax if c = ...

    Text Solution

    |

  10. Find the points on the curve x^2+y^2-2x-4y+1=0,where the tangent is pa...

    Text Solution

    |

  11. Find the equations of the tangent and the normal to the curve y = (x-7...

    Text Solution

    |

  12. Find the angle of intersection of two curves y =2^x and y=5^x

    Text Solution

    |

  13. Show that x/(1+ x tan x,) x in (0,pi/2)is maximum when x = cos x.

    Text Solution

    |

  14. Show that f(x)=(logx)/xhas minimum value at x=e

    Text Solution

    |

  15. Find (dy)/(dx) if x=(3at)/(1+t^3), y=(3at^2)/(1+t^3) at t=1/2

    Text Solution

    |

  16. Find the extreme values of the function f(x)=x^2e^(-x^2) and show that...

    Text Solution

    |

  17. A curve passes through the point (2, 0) and slope of tthe tangent at a...

    Text Solution

    |

  18. A figure consists of a semi-circle with a rectangle on its diameter. G...

    Text Solution

    |

  19. what is the direction of cosine of the line passing through (4,2,3) an...

    Text Solution

    |

  20. Show that the line y=mx+c touches the curve x^2/a^2-y^2/b^2 = 1 if c^2...

    Text Solution

    |