Home
Class 11
MATHS
If x = 2costheta- cos 2theta, y = 2sinth...

`If x = 2costheta- cos 2theta, y = 2sintheta -sin 2theta, find dy/dx. `

Text Solution

Verified by Experts

The correct Answer is:
`tan((3theta)/2)`
Promotional Banner

Topper's Solved these Questions

  • DIFFEREMTIAL CALCULUS DIFFERENTIABILITY AND METHODS OF DIFFERENTITAION

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 10.5|25 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Choose the correct option for the following)|34 Videos

  • DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|58 Videos

Similar Questions

Explore conceptually related problems

Find (dy)/(dx) if x=cos theta - cos 2 theta and" "y = sin theta - sin 2theta

x = a(costheta + logtan(theta/2), y = asintheta, find dy/dx.

Find (dy)/(dx) if x=3 cos theta- 2cos^(3)theta,y=3 sin theta -2sin^(3) theta.

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

If sintheta +costheta =1 then sin^6 theta +cos^6 theta is:

If x sin ^3 theta +y cos^3 theta = sin theta cos theta and x sin theta =y cos theta then x^2 +y^2 is

Find the range of 12sintheta-9sin^2theta

Solve : 3-2 cos theta -4 sin theta - cos 2theta+sin 2theta=0 .

y = tan theta ( sin theta + cos theta) find (dy)/(d theta) .

PREMIERS PUBLISHERS-DIFFEREMTIAL CALCULUS DIFFERENTIABILITY AND METHODS OF DIFFERENTITAION -PROBLEMS FOR PRACTICE
  1. Differentiate cosec^(-1)(1/(3x-4x^(3))):

    Text Solution

    |

  2. If x=asec^(3)theta " and " y=atan^(3)theta " find " (dy)/(dx) " at " t...

    Text Solution

    |

  3. If x = 2costheta- cos 2theta, y = 2sintheta -sin 2theta, find dy/dx.

    Text Solution

    |

  4. x = a(costheta + logtan(theta/2), y = asintheta, find dy/dx.

    Text Solution

    |

  5. If x^(m)y^(n) = (x+y)^(m+n),find dy/dx.

    Text Solution

    |

  6. If e^(x)+ e^(y) = e^(x+y), find dy/dx.

    Text Solution

    |

  7. If ax^(2) +2hxy + by^(2) + 2gx + 2fy + c = 0, find dy/dx.

    Text Solution

    |

  8. If y = cos (m sin^(-1) x), prove that (1-x^2)y3 -3 xy2 + ( m^2 -1) y1=...

    Text Solution

    |

  9. Differentiate tan^(-1)(2x/(1 - x^(2))) with respect to cos^(-1)((1 - x...

    Text Solution

    |

  10. If y = sqrt((x-1)(x-2)(x-3)), find dy/dx.

    Text Solution

    |

  11. Differentiate cosec^(-1)((1 + x^(2))/(2x)) with respect to cot^(-1)((1...

    Text Solution

    |

  12. f(x)={(x,0,le,x,le,2),(3x,-,1,2,lt,x,le,3):} then f'(2^(+)) is:

    Text Solution

    |

  13. f(x)={(x,0,le,x,le,1),(2x,-,1,1,lt,x,le,2):} then f'(1^(-)) is :

    Text Solution

    |

  14. If f(x)=x^2 and is differentiable an [1,2] f'(c) at c where c in [1,2]...

    Text Solution

    |

  15. f(x)={(x,0,le,x,le,1),(2x,-,1,1,lt,x,le,2):} then f'(1^(-)) is :

    Text Solution

    |

  16. f(x)=abs(x)+abs(x+1)+abs(x-1)+cosx. At how many points on R, this func...

    Text Solution

    |

  17. f(x)=abs(x)+abs(x-1) find f'(1^(+)):

    Text Solution

    |

  18. f(x)={(2x,-,3,0,le,x,le,2),(x^(2),-,3,2,le,x,le,4):} then f'(2^(+)) an...

    Text Solution

    |

  19. Compute f'(0^(+)) if f(x)=(x(e^(1/x)-1))/(e^(1/x)+1):

    Text Solution

    |

  20. f(x)=ax^(2)+bx+12, f'(2)=11,f'(4)=15, Then a and b are:

    Text Solution

    |