Home
Class 12
MATHS
For the function f(x)=4/3x^3-8x^2+16 x+5...

For the function `f(x)=4/3x^3-8x^2+16 x+5,x=2` is a point of
(1)local maxima
(2) local minima
(3)point of inflexion
(4) decreasing/increasing

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Find the points at which the function f given by f(x)=(x-2)^4(x+1)^3 has(i) local maxima (ii) local minima (iii) point of inflexion

Find the points at which the function f given by f(x)=(x-2)^4(x+1)^3 has local maxima local minima point of inflexion

The function f(x)=|x^2-2|/|x^2-4| has, (a) no point of local maxima (b) no point of local minima (c) exactly one point of local minima (d) exactly one point of local maxima

Find the points at which the function f given by f(x)=(x-2)^4(x+1)^3 has local maxima and local minima and points of inflexion.

f(x) = -(3/4)x^2-8x^3-42/5x^2+105 . Calculate local maxima and local minima.

Find all points of local maxima and local minima of the function f given by f(x)=x^3-3x+3 .

Let f(x)=x^(3)-3x^(2)+6 find the point at which f(x) assumes local maximum and local minimum.

Find all the points of local maxima and local minima of the function f(x)=x^3-6x^2+12 x-8.

Find all the points of local maxima and local minima of the function f(x)=x^3-6x^2+12 x-8 .

Find the points of local maxima or minima for f(x) =" sin "2x -x, x in (0,pi)

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Bag I contains 3 red and 4 black balls while another Bag II contain...

    Text Solution

    |

  2. Choose the correct option 5/4-7/6-(-2)/3=\ (a) 3/4 (b) -3/4 ...

    Text Solution

    |

  3. For the function f(x)=4/3x^3-8x^2+16 x+5,x=2 is a point of (1)local ...

    Text Solution

    |

  4. Solve for x :2tan^(-1)(cosx)=tan^(-1)(2\ cos e c\ x)

    Text Solution

    |

  5. If a, b, c, d and p are different real numbers such that (a^2+b^2+c^2...

    Text Solution

    |

  6. The co-efficient of x in the expansion of (1-2x^(3) + 3x^(5)) (1+1/x)^...

    Text Solution

    |

  7. If the function f(x) satisfies (lim)(x->1)(f(x)-2)/(x^2-1)=pi,evaluate...

    Text Solution

    |

  8. Find the point at which the tangent to the curve y=sqrt(4x-3)-1 has ...

    Text Solution

    |

  9. Let the circle S1: x^2+y^2+(4+sintheta)x+(3costheta)y=0 and S2: x^2+y^...

    Text Solution

    |

  10. A square matrix M of order 3 satisfies M^(2)=I-M, where I is an identi...

    Text Solution

    |

  11. A line passes through the points whose pdotvdot are hat i+ hat j-2 ha...

    Text Solution

    |

  12. If a function y=f(x) such that f'(x) is continuous function and satisf...

    Text Solution

    |

  13. If p:7 is not greater than 4 q : Paris is in France. Write ~(pvvq)...

    Text Solution

    |

  14. Solution set of |x^2-4|lt=5-|x^2-9| is [-3,3] (2) [-3,-2]uu[2,3] [...

    Text Solution

    |

  15. let A ={{:({:(a(11),a(12)),(a(21),a(22)):}):a(ij){0,1,2} and a(11)=a(2...

    Text Solution

    |

  16. Let A" "=" "{-1," "0," "1," "2} , B" "=" "{-4," "-2," "0," "2} and f,g...

    Text Solution

    |

  17. For the system of equitions: x+2y+3z=1 2x+y+3z=2 5x+5y+9z=4 there i...

    Text Solution

    |

  18. A conic passes through the point (2, 4) and is such that the segment o...

    Text Solution

    |

  19. If =lt=xlt=2pi, then the number of solutions of 3(sinx+cosx)-(sin^3x+c...

    Text Solution

    |

  20. If I1=int0^(3pi) (cos^2x) dx and I2 =int0^pi (cos^2x) dx then (a) I1=...

    Text Solution

    |