Home
Class 12
MATHS
Find the equation of the tangent to the ...

Find the equation of the tangent to the curve `y=(x^(3)-1)(x-2)` at points where the curve cuts the x-axis.

Text Solution

Verified by Experts

The correct Answer is:
`3x+y-3=0, 7x-y-14=0`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK - TYPE-III|8 Videos

  • APPLICATIONS OF INTEGRALS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS|17 Videos

Similar Questions

Explore conceptually related problems

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

Find the equation of the tangent to the curve y = (x-7)/((x-2)(x-3)) at the point where it cuts the x-axis.

Find the equation of the tangent to the curve y = 2x^(2) + 3 sin x at x = 0.

Find the slope of the tangent to the curve y = x^3-x at x=2

Find the length of the tangent for the curve y=x^3+3x^2+4x-1 at point x=0.

Find the equations of the tangent line to the curve: y=x^3 - 3x +5 at the point (2,7)

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

Find the slope of the tangent to the curve: y=x^3 - 2x+8 at the point (1,7).

Find the equation of the tangent to the curve y = x^2 - x + 2 where it crosses the y-axis.

ACCURATE PUBLICATION-APPLICATIONS OF DERIVATIVES-QUESTIONS CARRYING 2 MARKS
  1. Find the equation of the tangent to the curve y=(x^(3)-1)(x-2) at poin...

    Text Solution

    |

  2. Find the points on the curve y=x^(3)-3x^(2)+2x at which tangent to the...

    Text Solution

    |

  3. Find the equation of the tangent line to the curve y = x^2 - 2x + 7, w...

    Text Solution

    |

  4. Find the equation of the tangent line to the curve y = x^2-2x+7 which ...

    Text Solution

    |

  5. Find the equation of the normals to the curve y = x^3+2x+6 which are ...

    Text Solution

    |

  6. Find the point on the curve y=2x^(3)-15x^(2)+36x-21 at which the tange...

    Text Solution

    |

  7. Find the equations of the tangents to the curve 3x^2 - y^2 = 8, which ...

    Text Solution

    |

  8. Find the equations of the normal at a point on the curve x^2=4y, which...

    Text Solution

    |

  9. For the curve y = 4x^3-2x^5, find all the points at which the tangent ...

    Text Solution

    |

  10. Find the value of p for which the curves x^(2)=9p(9-y) and x^(2)=p(y+1...

    Text Solution

    |

  11. Find the values of 'x' for which f(x) = [x(x-2)]^2 is an increasing fu...

    Text Solution

    |

  12. Determine the values of x for which the function f(x)=x/(x^(2)+1) is s...

    Text Solution

    |

  13. Find the intervals in which the following functions are strictly incre...

    Text Solution

    |

  14. Find the intervals in which the following functions are strictly incre...

    Text Solution

    |

  15. Find intervals in which the function given by f(x)=3/10x^(4)-4/5x^(3)-...

    Text Solution

    |

  16. Find intervals in which the function given by f(x)=3/10x^(4)-4/5x^(3)-...

    Text Solution

    |

  17. The lengths of the sides of an isosceles triangle are 9+x^(2), 9+x^(2)...

    Text Solution

    |

  18. Manufacturer can sell x items at a price of rupees Rs(5-(x/100)) each...

    Text Solution

    |