Home
Class 12
MATHS
Find the coordinates of the point on the...

Find the coordinates of the point on the curve `x^2y - x + y = 0`
where the slope of the tangent is maximum.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    SHARAM PUBLICATION|Exercise EXAMPLE|17 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    SHARAM PUBLICATION|Exercise EXAMPLE|156 Videos

Similar Questions

Explore conceptually related problems

Find the coordinates of the points where the circle x^2 + y^2 -7x - 8y + 12 = 0 meets the coordinates axes and hence find the intercepts on the axes.

Find the point on the curve y^2 - x^2 + 2x - 1 =0 where the tangent is parallel to the x - axis.

Find the point on the curve x^2 + y^2 - 4xy + 2 = 0 where the normal is paralell to the x-asis.

Find the points on the curve y = x^3 - 11x + 5 at which the equation of the tangent is y = x-11 .

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

Find the point on the curve y^2-x^2 + 2x-1 = 0 where the tangent is parallel to the x-axis.

Find the points on the curve x^2+y^2-2x-4y+1=0, where the tangent is parallel to y-axis

Find the slope of tangent to the curve y = x^(2) + x + 1 at x = 1.

SHARAM PUBLICATION-APPLICATIONS OF DERIVATIVES-EXAMPLE
  1. Show that the curves y = 2^(x) and y = 5^(x) intersect at an angle tan...

    Text Solution

    |

  2. Find the altitude of a right circular cylinder of maximum volume inscr...

    Text Solution

    |

  3. Find the coordinates of the point on the curve x^2y - x + y = 0 wher...

    Text Solution

    |

  4. Find two numbers x and y whose sum is 15 such that xy^2 is maximum.

    Text Solution

    |

  5. Find the values of x for which f(x) = x^4+2x^3-2x^2-6x+5 is locally ma...

    Text Solution

    |

  6. Find the interval where y=sinx-cosx x in [0,2pi] is increasing.

    Text Solution

    |

  7. Find the maximum value of y=(1+cosx) sinx,xepsilon[0,(3pi)/(4)]

    Text Solution

    |

  8. Obtain the extreme point of f(x) = e^x (x^2-6x +9). As certain whether...

    Text Solution

    |

  9. Find the maximum of the function f(x)=(1/x)^x

    Text Solution

    |

  10. If a is positive, find the minimum value of(a+x)/sqrt(ax).

    Text Solution

    |

  11. Use the function f(x) = x^(1//x), x gt 0 to show that e^(pi) gt pi^(e)...

    Text Solution

    |

  12. Mention the values of x for which the function f(x)= x^2 - 12x is incr...

    Text Solution

    |

  13. Find the interval for which the function f(x) = tanx- 4 (x- 2) is incr...

    Text Solution

    |

  14. What is thevalue of a for which the function f(x) = a sin x + 1/3sin 3...

    Text Solution

    |

  15. What is the maximum value of the function f(x)=sinx(1 + cos x) ?

    Text Solution

    |

  16. If f(x) = a In x + bx^2 + x has extreme values at x= - 1 and x = 2 the...

    Text Solution

    |

  17. Find the coordinates of a point on the parabola y^2 = 8x which is at m...

    Text Solution

    |

  18. Find the difference between the greatest and least values of the funct...

    Text Solution

    |

  19. If f(x) = a In x + bx^2 + x has extreme values at x= - 1 and x = 2 the...

    Text Solution

    |

  20. Find the approximate value of (26.9)^(1/3)

    Text Solution

    |