Home
Class 12
MATHS
Find the equation of tangents and normal...

Find the equation of tangents and normals to the given curves `y=x^3` at `(1,1)`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|53 Videos

Similar Questions

Explore conceptually related problems

Find the equation on tangents and normals to the given curves y=x^4-6x^3+13x^2-10x+5 at (0,5)

Find the equation of tangents and normals to the given curves x=cost,y=sint, at t=pi/4

Find the equation of the tangent and normal to the given curve at the indicated points y=x^2 at (0,0)

Find the equation of the tangent and normal to the given curve at the indicated points y=x^4-6x^3+13x^2-10x+5 at (1,3)

Find the equation to the tangent and normal at (2,-2) to the curve y^2=x^3/(4-x)

Find the equations of the tangent and normal to the parabola y^2=4 a x at the point (a t^2, 2 a t)

Find the equation of the tangent and normal at the point (1,2) on the parabola y^2=4x .

Find the equations of the tangent and normal to the hyperbola (x^2)/a^2-(y^2)/b^2=1 at the point (x_0,y_0) .

BODY BOOKS PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Show that the function given by f(x)=3x+17 is strictly increasing on R...

    Text Solution

    |

  2. Find the slope of the tangent to curve y=x^3-x+1 at the point whose x...

    Text Solution

    |

  3. Find the equation of tangents and normals to the given curves y=x^3 at...

    Text Solution

    |

  4. Choose the correct answer from the bracket The slope of the normal to ...

    Text Solution

    |

  5. Use differentials to find the approximate value of (0.009)^(1/3) up to...

    Text Solution

    |

  6. Consider the function f(x)=(-3)/4x^4-8x^3-45/2x^2+105. Find f'(x).

    Text Solution

    |

  7. Consider the function f(x)=(-3)/4x^4-8x^3-45/2x^2+105. Find points of ...

    Text Solution

    |

  8. Consider the curve 2y=3-x^2 Find the slope of the tangent to this curv...

    Text Solution

    |

  9. Consider the curve 2y=3-x^2 Find the points on the curve at which tang...

    Text Solution

    |

  10. Consider the curves x=y^2 and xy=k Differentiate both the equations wi...

    Text Solution

    |

  11. Prove that the curve x=y^2 and xy=k cut at right angles, if 8k^2=1.

    Text Solution

    |

  12. The total profit y (in rupee) of a drug company from the manufacture a...

    Text Solution

    |

  13. The total profit y (in rupee) of a drug company from the manufacture a...

    Text Solution

    |

  14. Of all the cylinders with given surface area, show that the volume is ...

    Text Solution

    |

  15. A man 160 cm tall, walks away from a source of light situated at the t...

    Text Solution

    |

  16. It is given that at x = 1, the function x^4-62x^2+ax+9 attains its max...

    Text Solution

    |

  17. The total profit y (in rupee) of a drug company from the manufacture a...

    Text Solution

    |

  18. The total profit y (in rupee) of a drug company from the manufacture a...

    Text Solution

    |

  19. Sand is pouring from a pipe at the rate of 12 cm^3 / s. The falling sa...

    Text Solution

    |

  20. Water is running into a conical vessel, 15cm deep and 5cm in radius, a...

    Text Solution

    |