Home
Class 12
MATHS
x = cos^(3)t, y = sin^(3)t, then dy/dx ...

`x = cos^(3)t, y = sin^(3)t`, then `dy/dx` at ` t = pi/4`is

A

(-1)

B

1

C

(1/2)

D

(-1/2)

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos

  • ELLIPSE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos

Similar Questions

Explore conceptually related problems

If x = sin t. cos 2t, y = cost sin 2t then dy/dx at t = pi/4 is

If y = cos(log sin x), then dy/dx =

If x=a cos ^(3) theta and y = a sin^(3) theta then (dy)/( dx) =

If x=2cost+cos2t,y=2 sint-sin2t , then (dy)/(dx) at t=(pi)/(4) is

If x = a(t+1/t), y =a(t-1/t), then dy/dx =

HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
  1. If x = theta cos theta + sin theta, y = cos theta- theta sin theta, th...

    Text Solution

    |

  2. If x = a sin^(2) t, y = a cos^(2)t, then dy/dx

    Text Solution

    |

  3. x = cos^(3)t, y = sin^(3)t, then dy/dx at t = pi/4is

    Text Solution

    |

  4. If x = 2/t^(2), y = t^(3)-1, (d^(2)y)/(dx^(2) ) =

    Text Solution

    |

  5. Find (dy)/( dx), if x=a [ cos t + log ( tan ""t//2)]& y= a sin t

    Text Solution

    |

  6. If x =a(theta - sin theta), y = a (1- cos theta) then dy/dx at pi/2 is

    Text Solution

    |

  7. If x = e^(cos t), y = e^(sin t), then dy/dx =

    Text Solution

    |

  8. x = a cos theta, y = b sin theta.

    Text Solution

    |

  9. If x = theta . Sin 2 theta, y = theta . cos 2 theta then dy/dx at thet...

    Text Solution

    |

  10. If x = e^(sin t), y = e^(cos t), then dy/dx =

    Text Solution

    |

  11. If x = cos^(-1) (1/(sqrt(1+t^(2)))), y = sin^(-1) (t/(sqrt(1+t^(2))))...

    Text Solution

    |

  12. If sin x = (2t)/(1+t^(2)), tan y = (2t)/(1-t^(2)), then (dy)/(dx) is e...

    Text Solution

    |

  13. Derivatives cos^(-1) (2x^(2)-1) w.r.t sqrt(1+3x) at x = -1/3 is

    Text Solution

    |

  14. Derivatives sin^(-1) ((sqrt(1+x)+sqrt(1-x))/2) w.r.t cos^(-1)x is

    Text Solution

    |

  15. Derivative of sec^(-1) (1/(2x^(2)-1)) w.r.t sqrt(1-x^(2)) is

    Text Solution

    |

  16. The derivative of tan^(-1) [(sqrt(1 + x^(2)) - 1)/(x)] with respect to...

    Text Solution

    |

  17. Derivative of log(sec x) w.r.t tan x is

    Text Solution

    |

  18. Derivative of cos^(-1)x w.r.t sin^(-1)x is

    Text Solution

    |

  19. Derivative of log x w.r.t sqrtx is

    Text Solution

    |

  20. The derivative of cos^(-1)(2x^(2)-1) w.r.t cos^(-1) x is

    Text Solution

    |