Home
Class 12
MATHS
Find the solpe of tangent at point (1, 1...

Find the solpe of tangent at point (1, 1) of the curve `x^(2)= y`.

Text Solution

Verified by Experts

`x^(2)= y`
`rArr (dy)/(dx) = 2x`
At point (1, 1), the slope of tangent
` m= ((dy)/(dx))_"(1,1)" = 2 xx 1 =2`.
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6a|20 Videos

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6b|17 Videos

  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Find the slopes of the tangent and the normal to the curve x^2+3 y2=5 at (1,1)

Find the slopes of the tangent and the normal to the curve x^2+3y+y^2=5 at (1,\ 1)

Find the slopes of the tangent and the normal to the curve x^2+3y+y^2=5 at (1, 1)

Find the slope of the tangent to the curve y=x^2 at (-1/2,1/4) .

If slope of the tangent at the point (x, y) on the curve is (y-1)/(x^(2)+x) , then the equation of the curve passing through M(1, 0) is :

Find the slopes of the tangent and the normal to the curve x y=6 at (1,\ 6)

Find the slope of tangent of the curve y=x^(2) at point ((1)/(3),(1)/(9))

Find the slope of tangent to the curve if equation of the curve is x^2+xy+y^2-2x-2y+1=0 at (0,0)

Find the slope of the tangent to the curve y=(x-1)/(x-2), x!=2 at x= 10 .

Find the equation of tangent and normal to the curve 2y=3-x^(2) at (1, 1).

NAGEEN PRAKASHAN ENGLISH-APPLICATIONS OF DERIVATIVES-Miscellaneous Exercise
  1. Find the solpe of tangent at point (1, 1) of the curve x^(2)= y.

    Text Solution

    |

  2. Using differentials, find the approximate value of each of the follow...

    Text Solution

    |

  3. Show that the function given by f(x)=(logx)/xhas maximum at x = e.

    Text Solution

    |

  4. The two equal sides of an isosceles triangle with fixed base b are ...

    Text Solution

    |

  5. Find the equation of the normal to the curve x^2=4\ y which passes ...

    Text Solution

    |

  6. Show that the normal at any point theta to the curve x=acostheta+at...

    Text Solution

    |

  7. Find the intervals in which the function f given by f(x)=(4sinx-2x-x c...

    Text Solution

    |

  8. Find the intervals in which the function f given by f(x)=x^3+1/(x^3),\...

    Text Solution

    |

  9. Find the area of the greatest isosceles triangle that can be inscri...

    Text Solution

    |

  10. A tank with rectangular base and rectangular sides, open at the top ...

    Text Solution

    |

  11. The sum of the perimeter of a circle and square is k, where k is so...

    Text Solution

    |

  12. A window is in the form of a rectangle surmounted by a semicircular...

    Text Solution

    |

  13. A point on the hypotenuse of a triangle is at distance a and b from...

    Text Solution

    |

  14. Find the points at which the function f given by f(x)=(x-2)^4(x+1)^3 h...

    Text Solution

    |

  15. Find the absolute maximum and minimum values of the function f give...

    Text Solution

    |

  16. Show that the altitude of the right circular cone of maximum volume ...

    Text Solution

    |

  17. Let f be a function defined on [a, b] such that f^(prime)(x)>0, for al...

    Text Solution

    |

  18. Show that the height of the cylinder of maximum volume that can be ...

    Text Solution

    |

  19. Show that height of the cylinder of greatest volume which can be in...

    Text Solution

    |

  20. A cylindrical tank of radius 10 m is being filled with wheat at the r...

    Text Solution

    |

  21. The slope of the tangent to the curve x=t^2+3t-8,y=2t^2-2t-5at the po...

    Text Solution

    |