Home
Class 12
MATHS
Discuss monotonocity of y=f(x) which is ...

Discuss monotonocity of `y=f(x)` which is griven by `x=1/(1+t^2) and y=1/(t(1+t^2))`

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos
  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

Find (dy)/(dx) when : tan y=(2t)/(1-t^(2)), sin x=(2t)/(1+t^(2))

Discuss the monotonocity of function f(x)=2log|x-1|-x^2+2x+3.

Area enclosed by the curve y=f(x) defined parametrically as x=(1-t^2)/(1+t^2), y=(2t)/(1+t^2) is equal

For a positive constant a find (dy)/(dx) , where y= a^(t+(1)/(t))," and "x=(t+(1)/(t))^(a) .

For the variable t , the locus of the points of intersection of lines x - 2y = t and x + 2y = (1)/(t) is _

Find the equation to the locus represented by x=(2+t+1)/(3t-2), y=(t-1)/(t+1) wher t is variable parameter.

If y(t) is a solution of (1+t)dy/dt-t y=1 and y(0)=-1 then y(1) is

The eccentricity of the hyperbola 2x = a(t + (1)/(t)), 2y = a(t-(1)/(t))

Find y_2 in each of the following cases: x=a(t+1/t) , y=a(t-1/t)

For the variable t, the locus of the points of intersection of lines x-2y=t and x+2y=(1)/(t) is

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Find the points of inflection for (a)f(x)=sinx (b)f(x)=3x^4-4x^3

    Text Solution

    |

  2. Statement 1: If both functions f(t)a n dg(t) are continuous on the clo...

    Text Solution

    |

  3. Discuss monotonocity of y=f(x) which is griven by x=1/(1+t^2) and y=1...

    Text Solution

    |

  4. Statement 1: If 27 a+9b+3c+d=0, then the equation f(x)=4a x^3+3b x^2+2...

    Text Solution

    |

  5. Find the value of a for which the function (a+2)x^3-3a x^2+9a x-1 decr...

    Text Solution

    |

  6. The angle of intersection between the curves y=[|sinx|+|cosx|]andx^2+y...

    Text Solution

    |

  7. Find the value of a in order that f(x)=sqrt(3)sinx-cosx-2a x+b decreas...

    Text Solution

    |

  8. Show that curves ax^2+by^2=1 and cx^2+dy^2=1 intersect orthogonally if...

    Text Solution

    |

  9. Discuss the monotonocity of function f(x)=2log|x-1|-x^2+2x+3.

    Text Solution

    |

  10. If the area of the triangle included between the axes and any tangent ...

    Text Solution

    |

  11. Separate the intervals of monotonocity for the function f(x)=3cos^4x+1...

    Text Solution

    |

  12. If the tangent at (x1,y1) to the curve x^3+y^3=a^3 meets the curve aga...

    Text Solution

    |

  13. Separate the intervals of monotonocity for the function f(x)=3cos^4x+1...

    Text Solution

    |

  14. Show that the segment of the tangent to the curve y=a/2I n((a+sqrt(a^2...

    Text Solution

    |

  15. Separate the intervals of monotonocity for the function f(x)=((log)e x...

    Text Solution

    |

  16. Prove that the equation of the normal to x^(2/3)+y^(2/3)=a^(2/3) is yc...

    Text Solution

    |

  17. Discuss monotonocity of f(x)=x/(sinx)a n d g(x)=x/(tanx),where (xlt=1...

    Text Solution

    |

  18. Prove that the curves y=f(x),[f(x)>0],a n dy=f(x)sinx ,w h e r ef(x) i...

    Text Solution

    |

  19. Discuss the extremum of f(x)={x^2+x^-2}

    Text Solution

    |

  20. Tangents are drawn from the origin to curve y=sinxdot Prove that point...

    Text Solution

    |