Home
Class 12
MATHS
if x=a cos^(4) theta, y= a sin^(4) theta...

if `x=a cos^(4) theta, y= a sin^(4) theta, "then" (dy)/(dx)"at" theta=(3pi)/(4)` is

A

`-1`

B

1

C

`-a^(2)`

D

`a^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|138 Videos
  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos
  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise DERIVATIVE OF PARAMETRIC FUNCTIONS|18 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 y=1- cos theta, x =1 - sin theta,then (dy)/(dx) " at " theta = (pi)/(4) is

If x=a cos theta,y=b sin theta, then (d^(2)y)/(dx^(2)) when theta=(pi)/(4) is given by

If x=sinthetacos2theta,y=costhetasin2theta," then "((dy)/(dx))" at "theta=(pi)/(4) is

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

Find dy/dx "x=a cos^(4)theta;y=b sin^(4)theta

If x = a cos theta and y = b sin theta , find (dy)/(dx)

y = cos theta and x = sin theta (dy)/(dx) at theta=(pi)/(4) is :

The equation of tangent to the curve x=a cos^(3) theta, y= a sin^(3) theta" at "theta=(pi)/(4) is

x=a cos theta,y=a sin theta Find dy/dx

If x= e^(theta )(sin theta - cos theta ) , y= e^(theta ) ( sin theta + cos theta ) then (dy)/(dx) at theta =(pi)/(4) is

TARGET PUBLICATION-DIFFERENTIATION -HIGHER ORDER DERIVATIVES
  1. If y=sin(2 sin^(-1)x), then (dy)/(dx)=

    Text Solution

    |

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

    Text Solution

    |

  3. if x=a cos^(4) theta, y= a sin^(4) theta, "then" (dy)/(dx)"at" theta=(...

    Text Solution

    |

  4. The derivative of sec^(-1)(1/(2x^2+1)) with respect to sqrt(1+3x) at x...

    Text Solution

    |

  5. If x=sin tcos 2t,y=cos tsin 2t ,then " at " t= (pi)/(4) ,(dy)/(dx)

    Text Solution

    |

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

    Text Solution

    |

  7. If : y=cos^(2)((3x)/(2))-sin^(2)((3x)/(2))," then: "(d^(2)y)/(dx^(2))=

    Text Solution

    |

  8. If x=t^(2) and y=t^(3)+1, then (d^(2)y)/(dx^(2)) is

    Text Solution

    |

  9. let y=t^(10)+1, and x=t^8+1, then (d^2y)/(dx^2) is

    Text Solution

    |

  10. If x=log t, t gt 0 and y=1/t, then (d^(2)y)/(dx^(2)), is

    Text Solution

    |

  11. If y = 1 - x +(x^(2))/(2!) - (x^(3))/(3!) + (x^(4))/(4!) - ..., " the...

    Text Solution

    |

  12. Let f be a function defined for every x, such that f''=-f, f(0)=0,f'(0...

    Text Solution

    |

  13. If e^y\ (x+1)=1 , then (d^(2)y)/(dx^(2))= .

    Text Solution

    |

  14. If y=ax^(5)+(b)/(x^(4))," then "(d^(2)y)/(dx^(2))=

    Text Solution

    |

  15. If y=a x^(n+1)+b x^(-n),t h e n x^2(d^2y)/(dx^2) is equal to

    Text Solution

    |

  16. If y=a cos ( log x )+ bsin (log x) where a ,b are parameters ,then ...

    Text Solution

    |

  17. If y=a^(x) b^(2x-1) ,then (d^(2)y)/(dx^(2))=

    Text Solution

    |

  18. If y=log(x+sqrt(x^(2) +a^(2))), then (d^(2)y)/(dx^(2)), is equal to

    Text Solution

    |

  19. If y=x^(2)+2x+3," then "(d^(2)x)/(dy^(2))

    Text Solution

    |

  20. If y=x+e^x , then (d^2x)/(dy^2) is equal to

    Text Solution

    |