Home
Class 12
MATHS
Find (dy)/(dx), when x=a(theta+sintheta)...

Find `(dy)/(dx),` when `x=a(theta+sintheta)a n dy=a(1-costheta)`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT GUJARATI|Exercise MISCELLANEOUS EXAMPLES|9 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT GUJARATI|Exercise EXERCISE 5.1|39 Videos

  • APPLICATION OF INTEGRALS

    NCERT GUJARATI|Exercise Miscellaneous Exercise|19 Videos

  • DETERMINANTS

    NCERT GUJARATI|Exercise Miscellaneous Exercises on Chapter 4|18 Videos

Similar Questions

Explore conceptually related problems

Find (dy)/(dx) if x=a(theta-sintheta) and y=a(1-costheta) .

Find (dy)/(dx) , if x= a (theta + sin theta), y= a (1- cos 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= a(theta-sin theta), y= a (1+ cos theta) .

If x and y are connected parametrically by the equations without eliminating the parameter, find (dy)/(dx) x=a (cos theta + theta sin theta),y= a (sin theta- theta cos theta)

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

Find (dy)/(dx) : x=a sin^(2) theta cos theta, y= 2b cos^(2) theta (-sin theta)

Find (dy)/(dx) : x=2 cos theta- cos^(2) theta and y=2 sin theta- sin 2theta Show that (dy)/(dx)= -1 " when " theta = (pi)/(2)

NCERT GUJARATI-CONTINUITY AND DIFFERENTIABILITY-MISCELLANEOUS EXERCISE ON CHAPTER 5
  1. Find (dy)/(dx), when x=a(theta+sintheta)a n dy=a(1-costheta)

    Text Solution

    |

  2. Differentiate w.r.t.x the function in Exercises 1 to 11. (3x^(2)-9x+...

    Text Solution

    |

  3. Differentiate w.r.t. x the functionsin^3x+cos^6x

    Text Solution

    |

  4. Differentiate w.r.t. x the function(5x)^(3cos2x).

    Text Solution

    |

  5. sin^(-1)(xsqrt(x)),0 le x le 1

    Text Solution

    |

  6. Differentiate w.r.t.x the function in Exercises 1 to 11. (cos^(-1)""...

    Text Solution

    |

  7. cot^-1{sqrt(1+sinx)+sqrt(1-sinx)}/{sqrt(1+sinx)-sqrt(1-sinx)}

    Text Solution

    |

  8. Differentiate w.r.t. x the function(logx)^(logx), x >1

    Text Solution

    |

  9. Differentiate w.r.t.x the function in Exercises 1 to 11. cos( a cos ...

    Text Solution

    |

  10. (sinx-cosx)^((sinx-cosx)),(pi)/(4) ltx lt (3pi)/(4)

    Text Solution

    |

  11. Differentiate w.r.t.x the function in Exercises 1 to 11. x^(x)+x^(a)...

    Text Solution

    |

  12. x^(x^(2)-3)+(x-3)^(x^2)," for "x gt 3.

    Text Solution

    |

  13. Find (dy)/(dx),if y=12(1-cost), x=10(t-sint),-pi/2<t<pi/2

    Text Solution

    |

  14. Find (dy)/(dx), if y=sin^(-1)x+sin^(-1)sqrt(1-x^2),-1lt=xlt=1.

    Text Solution

    |

  15. xsqrt(1+y)+ysqrt(1+x)=0, then (dy)/(dx)=

    Text Solution

    |

  16. If (x-a)^2+(y-b)^2=c^2, for some c > 0, prove that ([1+((dy)/(dx))^2]^...

    Text Solution

    |

  17. If cosy=xcos(a+y) , with cosa!=+-1 , prove that (dy)/(dx)=(cos^2(a+y))...

    Text Solution

    |

  18. If x=a(cos t+t\ s in\ t) and y=a\ (sint-t\ cos t),\ \ then find (d^2\...

    Text Solution

    |

  19. If f(x)=|x|^3 , show that f"(x) exists for all real x and find it.

    Text Solution

    |

  20. Using mathematical induction prove that d/(dx)(x^n)=n x^(n-1) for all...

    Text Solution

    |

  21. Using the fact that s in (A + B) = s in A cos B + cos A s in Band the ...

    Text Solution

    |