Home
Class 12
MATHS
If x=a cos^3theta,y=asin^3theta, then 1+...

If `x=a cos^3theta,y=asin^3theta`, then `1+((dy)/(dx))^2` is ___

A

`sec ^2 theta`

B

`tan theta`

C

1

D

`tan^2 theta`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise HIGHER ORDER DERIVATIVES|32 Videos

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos

  • INTEGRATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos

Similar Questions

Explore conceptually related problems

If x=bcos^(3)theta,y=asin^(3)theta," then "(dy)/(dx)=

If x=bcos^(2)theta,y=asin^(2)theta," then "(dy)/(dx)=

If x=a cos theta ,y=asin theta ,then (dy)/(dx)=

x=acos^(3)theta,y=asin^(3)theta then find (d^(2)y)/(dx^(2))

If x=a cos^(3)theta,quad y=as in^(3)theta, then sqrt(1+((dy)/(dx))^(2))=tan^(2)theta(b)sec^(2)theta(c)sec theta(d)|sec theta|

x=a cos theta,y=b sin theta then find dy/dx

if x=cos theta,y=sin theta then (dy)/(dx)=

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

TARGET PUBLICATION-DIFFERENTIATION -COMPETITIVE THINKING
  1. The derivative of log(10x) with respect to x^(2), is

    Text Solution

    |

  2. The dIfferential coefficient of log10 x with respect to logx 10 is

    Text Solution

    |

  3. If x=a cos^3theta,y=asin^3theta, then 1+((dy)/(dx))^2 is

    Text Solution

    |

  4. If x = log (1 + t^(2)) " and " y = t - tan^(-1)t, " then" dy/dx is e...

    Text Solution

    |

  5. If x=a(t-sint), y=a(1-cost), then (dy)/(dx) is equal to

    Text Solution

    |

  6. If x=2 cos theta- cos 2 theta and y=2 sin theta - sin 2 theta, then (d...

    Text Solution

    |

  7. If sinx=(2t)/(1+t^2) , tany=(2t)/(1-t^2) , find (dy)/(dx) .

    Text Solution

    |

  8. Daribative of (log x) ^(x) w.r.t log x is

    Text Solution

    |

  9. DIfferential coefficient of tan^-1(x/(1+sqrt(1-x^2)))w.r.t sin^-1x is

    Text Solution

    |

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

    Text Solution

    |

  11. The differential coefficient of tan^(-1)((sqrt(1+x^2)-1)/x) with respe...

    Text Solution

    |

  12. Find the differential coefficient of sin^-1(2xsqrt(1-x^2))w.r.t. sin^-...

    Text Solution

    |

  13. Derivative of tan^(-1)((x)/(sqrt( 1 - x^(2)))) with respect to ...

    Text Solution

    |

  14. The derivative of f(x)=x^(tan^-1 x) with respect to g(x)=sec^-1(1/(2x^...

    Text Solution

    |

  15. If x = ct and y=c/t, find (dy)/(dx) at t=2.

    Text Solution

    |

  16. If y = a sin^(3) theta " and " x = a cos^(3) theta . " then at " th...

    Text Solution

    |

  17. If x= e^(theta )(sin theta - cos theta ) , y= e^(theta ) ( sin ...

    Text Solution

    |

  18. Derivative of log (sec theta + tan theta ) with respect to sec th...

    Text Solution

    |

  19. The differential coefficient of sec^(-1)(1/(2x^2-1)) w.r.t sqrt(1-x^2)...

    Text Solution

    |

  20. Find the derivative of f(tanx) w.r.t. g(secx) at x=pi/4 , where f^(pri...

    Text Solution

    |