Home
Class 11
MATHS
Find (dy)/(dx) if x =a ( cos t + t si...

Find `(dy)/(dx) ` if
`x =a ( cos t + t sin t ), y = a ( sin t - t cos t).`

Text Solution

Verified by Experts

The correct Answer is:
`(atsint)/(atcost)=tant`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-9(d)|15 Videos

  • DIFFERENTIATION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-9(b)|37 Videos

  • APPLICATION OF DERIVATIVES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-10(h)|35 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISE -6(B)|21 Videos

Similar Questions

Explore conceptually related problems

x = a (cost + t sint) , y = a (sint - tcost) find (dy)/(dx) .

Find (dy)/(dx) if x = 2 e ^(-t) , y = 4e ^(t)

If x = a[cos t + log tan (t/2)], y = a sin t then find (dy)/(dx) .

Find (dy)/(dx), " if "y=12 (1-cos t), x= 10(t-sin t), -(pi)/(2) lt t lt (pi)/(2) .

The locus of the point represented by x = 3 (cos t + sin t ) , y = 2 ( cos t - sin t ) is

Find the length of subtangent subnormal at a pont t on the curve x=a(cos t+ t sin t) y=a( sin t-t cos t)

If x and y are connected parametrically by the equations given in Exercises 1 to 10, without eliminating the parameter, Find (dy)/(dx) . x= a(cos t+ log tan (t)//(2))y= a sin t .

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-DIFFERENTIATION-Exercise-9(c )
  1. Find (dy)/(dx) for the following functions. x=3cos t-2 cos^(3)t, ...

    Text Solution

    |

  2. If x=(3at)/(1+t^(3)),y=(3at^(2))/(1+t^(3)) then find dy/dx.

    Text Solution

    |

  3. Find (dy)/(dx) if x =a ( cos t + t sin t ), y = a ( sin t - t cos t...

    Text Solution

    |

  4. If x=a[(1-t^(2))/(1+t^(2))],y=(2bt)/(1+t^(2) then find dy/dx.

    Text Solution

    |

  5. Differentiate f(x)=log(a)x with respect to g(x)=a^(x).

    Text Solution

    |

  6. Differentiate f(x) with respect to g(x) for the following . f(x)=sec...

    Text Solution

    |

  7. Find the derivative of f (x) w.r.t. g(x) for the f (x) = Tan ^(-1) (...

    Text Solution

    |

  8. Find the derivative of x^(4)+y^(4)-a^(2)xy=0.

    Text Solution

    |

  9. Find the derivative of y=x^(y).

    Text Solution

    |

  10. Find the derivative of the function y defined implicitly by each of th...

    Text Solution

    |

  11. If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y) then prove that dy/dx=(sqrt(1-y^...

    Text Solution

    |

  12. If y=xsqrt(a^(2)+x^(2))+a^(2)log(x+sqrt(a^(2)+x^(2))), then show that ...

    Text Solution

    |

  13. If x^(logy)=logx then find dy/dx.

    Text Solution

    |

  14. If y = tan^(-1)((3x-x^(3))/(1-3x^(2))) + tan^(-1) ((4x-4x^(3))/(1-6x^(...

    Text Solution

    |

  15. If x^(y)=y^(x) then show that dy/dx=(y(xlogy-y))/(x(ylogx-x)).

    Text Solution

    |

  16. If x ^(3) + y ^(3) =3 axy then (dy)/(dx) =

    Text Solution

    |

  17. Find the derivative dy/dx of the function y=((1-2x)^(2//3)(1+3x)^(-3//...

    Text Solution

    |

  18. Find the derivative (dy)/(dx) of each of the following functions. y=...

    Text Solution

    |

  19. Find (dy)/(dx) for the function (using logarithms). y = ((a - x ) ^(...

    Text Solution

    |

  20. Find (dy)/(dx) for the function (using logarithms). y = (x ^(3) sqrt...

    Text Solution

    |