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`

A

6

B

0

C

11

D

none of these.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    PRADEEP PUBLICATION|Exercise EXERCISE|502 Videos
  • APPLICATIONS OF INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|162 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 2.

Find the slope of the tangent to the curve: y = 3x^2 - 6x at the point on it, whose x-co-ordinate is 2.

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

Find the slope of the tangent to the curve y =3x^2-4x at the point, whose x-co-ordinats is 2.

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

PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Which of the following functions is decreasing on (0, pi/2)

    Text Solution

    |

  2. On the interval (pi/4,pi/2), the function tan^-1 (sinx + cos x) is

    Text Solution

    |

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

    Text Solution

    |

  4. The point on the curv3e y = sqrt(4x-3)-1, at which the slope of the ta...

    Text Solution

    |

  5. The point on the curve y = x^2 - 4 x + 4 at which the tangent is paral...

    Text Solution

    |

  6. The tangent to the curve given by: x=e^t cos t,y =e^t sin t at t = pi/...

    Text Solution

    |

  7. The tangent to the curve y=e^(2x) at the point (0, 1) meets x-axis at ...

    Text Solution

    |

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

    Text Solution

    |

  9. The point at which the curves x^2 =y and y^2 = x cut orthogonally is

    Text Solution

    |

  10. The equation of tangent to the curve y(1+x^(2))=2-x, where it crosses ...

    Text Solution

    |

  11. If the curve at ay+x^(2)=7 and x^(3)=y, cut orthogonally at (1, 1), th...

    Text Solution

    |

  12. The function f(x) = x has

    Text Solution

    |

  13. The function f(x) = 2x^3 - 6x^2 + 6x + 5 has

    Text Solution

    |

  14. Let f(x) = {:{(|x| for 0<|x|le1), (1 for x = 0):} then

    Text Solution

    |

  15. The abscissa of the point on the curve 3y=6x-5x^3, the normal at which...

    Text Solution

    |

  16. At x = 5pi/6, f(x) = 2 sin 3x + 3 cos 3 x is

    Text Solution

    |

  17. The two curves x^3 - 3x y^2 + 2 = 0 and 3x^2y - y^3 - 2 = 0 intersect ...

    Text Solution

    |

  18. The function f(x) = loge(x^3 + sqrt(x^6 +1)) is

    Text Solution

    |

  19. Let f(X) = tan^-1 g(x), where g (x) is monotonically increasing for 0<...

    Text Solution

    |

  20. Function f(X) = cos x - 2 lambdax is monotonic decreasing when

    Text Solution

    |