Home
Class 12
MATHS
Find the slope of the tangent to the cu...

Find the slope of the tangent to the curve ` x=2(theta-sin2theta),`y=`2(1-cos theta)at θ=(pi)/4`.

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    SHARAM PUBLICATION|Exercise EXAMPLE|118 Videos

  • DETERMINANT

    SHARAM PUBLICATION|Exercise EXAMPLE|90 Videos

Similar Questions

Explore conceptually related problems

Find the slope of the tangent to the curve x=2(t-sin t) and y = 2(1-cost) at t= (pi)/(4)

Find the slope of the tangent to the curve y=sin 3t,x=2t at t=pi/4

Find the slope of the tangent to the curve x = sin 3t, y = cos 2t, at t = pi/4 .

Find the slope of the tangent to the curve y = x^(3) - "x at x" = 2 .

Find the equations of the tangent to the curve x = sin 3t, y = cos 2t at t = pi/4

or the curve y=3x^2 + 4x , find the slope of the tangent to the curve at a point where x-coordinate is -2

Find the point on the curves x = a( theta - sin theta ) and y=a(1 - cos theta ), at which the tangent is parallel to X-axis.

Find the equation of tangent to the curve x=sin 3t,y=cos 2t at t =pi/4

Find the slope of the normal to the curve x = a cos^(3) theta and y = a sin^(3) theta "at" theta = (pi)/(4)

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

SHARAM PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXAMPLE
  1. If y=(x+(1)/(x+(1)/(x+ . . .oo))) find (dy)/(dx), the rhs being a vali...

    Text Solution

    |

  2. If y=e^(sin^(-1)x) and u=logx then what is (dy)/(du)?

    Text Solution

    |

  3. Find the slope of the tangent to the curve x=2(theta-sin2theta),y=2(...

    Text Solution

    |

  4. If cos y = x cos(a+y) then prove that dy/dx = (cos^2(a+y))/sin a

    Text Solution

    |

  5. Differentiate sec^(-1)((x+x^(-1))/(x-x^(-1))) w.r.tx.

    Text Solution

    |

  6. Prove that y=tan(x+y), then (dy)/(dx)=(1+y^(2))/(-y^(2))

    Text Solution

    |

  7. Find (dy)/(dx), if y=log(x^(2)) 3.

    Text Solution

    |

  8. Find (dy)/(dx)when y=10^(sin x).

    Text Solution

    |

  9. If F(x)= intx^(x^2)e^(-t^4) dt then find F^1(x).

    Text Solution

    |

  10. If f(x) = sinx and g(x) = x^3 then find the value of[f (x).g (x)]^III ...

    Text Solution

    |

  11. Find the derivative of sin^(-1)((2x^3)/(1+x^6)).

    Text Solution

    |

  12. Find the derivative of tan^(-1)(cos^2x).

    Text Solution

    |

  13. Examine the differentiability of ln x^(2) for all real values of x.

    Text Solution

    |

  14. Find (dy)/(dx) when y=tan^(-1) ((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x)...

    Text Solution

    |

  15. Differentiate sin^(-1) ((2X)/(1+X^(2))) with respect to cos^(-1) ((1-X...

    Text Solution

    |

  16. Find (dy)/(dx) wheny=x^y.

    Text Solution

    |

  17. If 2z=x(2+(dz)/(dx)), then prove that (d^(2)z)/(dx^(2)) is a constant.

    Text Solution

    |

  18. If sin (x + y) = y cos (x + y) then prove that dy/dx =-(1 + y^2)/y^2

    Text Solution

    |

  19. If e^(y//x)=(x)/(a+bx) then show that x^(3)(d)/(dx)((dy)/(dx))=(x(dy)/...

    Text Solution

    |

  20. If (cosx)^(y)=(cosy)^(x), then find (dy)/(dx).

    Text Solution

    |