Home
Class 12
MATHS
Find the slope of the tangent to the cur...

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

Text Solution

Verified by Experts

`y= 3x^(4) - 4x`
` rArr (dy)/(dx) = 12 x^(3) - 4`
at x = 4
Slope of tangent
` m = 12 (4)^(3) - 4`
` = 786 - 4 = 764`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6.4|9 Videos

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6.5|29 Videos

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6.2|19 Videos

  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Find the slope of the tangent to the curve y=3x^4-4x at x = 4 .

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

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

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

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

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

Find slope of tangent to the curve x^2 +y^2 = a^2/2

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

The slope of the tangent to the curve y=x^(3) -x +1 at the point whose x-coordinate is 2 is

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

NAGEEN PRAKASHAN ENGLISH-APPLICATIONS OF DERIVATIVES-Exercise 6.3
  1. Find the slope of the tangent to the curve y = x^3- x at x = 2.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. Find the slope of the normal to the curve x=a\ cos^3theta , y=a\ sin...

    Text Solution

    |

  6. Find the slope of the normal to the curve x=1-asintheta , y=b\ cos^...

    Text Solution

    |

  7. The points at which the tangents to the curve y=x^(3)-12x+18 are paral...

    Text Solution

    |

  8. Find a point on the curve y=(x-2)^2at which the tangent is parallel t...

    Text Solution

    |

  9. Find the point on the curve y=x^3-11 x+5 at which the tangent is y"...

    Text Solution

    |

  10. Find the equation of all lines having slope - 1that are tangents to th...

    Text Solution

    |

  11. Find the equations of all lines having slope 2 and that are tangent...

    Text Solution

    |

  12. Find the equations of all lines having slope 0 which are tangent to t...

    Text Solution

    |

  13. Find pints on the curve (x^2)/9+(y^2)/(16)=1 at which the tangents ...

    Text Solution

    |

  14. Find the equations of the tangent and normal to the given curves at ...

    Text Solution

    |

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

    Text Solution

    |

  16. Show that the tangents to the curve y=7x^3+11at the points where x = ...

    Text Solution

    |

  17. Find the points on the curve y=x^3 at which the slope of the tangen...

    Text Solution

    |

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

    Text Solution

    |

  19. Find the points on the curve x^2+y^2-2x-3=0at which the tangents are ...

    Text Solution

    |

  20. Find the equation of the normal at the point (a m^2, a m^3) for the ...

    Text Solution

    |