Home
Class 12
MATHS
Find the points of inflection for f(x)=...

Find the points of inflection for `f(x)=sinx` `f(x)=3x^4-4x^3` `f(x)=x^(1/3)`

A

x = 1 and x = 2

B

x = 3 and x = -1

C

x = 0 and `x = (2)/(3)`

D

`x = (4)/(5) and x = -1`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    DISHA PUBLICATION|Exercise EXERCISE - 1|65 Videos
  • APPLICATION OF INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT BUILDER|30 Videos

Similar Questions

Explore conceptually related problems

Find the points of inflection for f(x)=sin xf(x)=3x^(4)-4x^(3)

Number of points of inflection for f(x)=x^(2)e^(-|x|) is 1 (b) 2 (c) 3 (d) 4

Concavity and convexity : if f''(x) gt 0 AA x in (a,b) then the curve y=f(x) is concave up ( or convex down) in (a,b) and if f''(x) lt 0 AA x in (a,b) then the curve y=f(x) is concave down (or convex up ) in (a,b) Inflection point : The point where concavity of the curve changes is known as point of inflection (at inflection point f''(x) is equal to 0 or undefined) Number of point of inflection for f(x) =(x-1)^(3) (x-2)^(2) is :

If f(x)=3x^4-5x^2+9, find f(x-1) .

Find the critical points of the function f(x) =4x^(3)-6x^(2) -24x+9 " if f(i) x in [0,3] (ii) x in [-3,3] (iii) x in [-1,2]

f(x)=3x^(4)-.5x^(2)+7, find f(x-1)

An equation of tangent line at an inflection point of f(x) = x^(4) - 6x^(3) + 12x^(2) - 8x + 3 is

Find the extrema points of f(x)=3x^(4)-4x^(3)-36x^(2)+28

Find the critical points of f(x)=x^(3//5)(4-x) .

Find the range of each of the following functions: f(x)=|x-3|f(x)=1-|x-2|f(x)=(|x-4|)/(x-4)

DISHA PUBLICATION-APPLICATION OF DERIVATIVES -EXERCISE - 2
  1. Find the intervals in which the function f given by f(x)=(4sinx-2x-xc...

    Text Solution

    |

  2. Let f(x)=x^3+ax^2+bx+5sin^2x be an increasing function in the set of r...

    Text Solution

    |

  3. The function f(x) = 3 cos^(4)x + 10 cos^(3) x + 6 cos^(2)x - 3, (0 le ...

    Text Solution

    |

  4. f(x) = 2x^(2) – log | x | (x != 0) is monotonic increasing in the int...

    Text Solution

    |

  5. The minimum value of e^((2x^(2)-2x+1)sin^(2)x) is

    Text Solution

    |

  6. The number of solutions of the equation x^3 +2 x^2 +5 x + 2 cos x = 0 ...

    Text Solution

    |

  7. Let g(x)=2f(x/2)+f(1-x) and f^(primeprime)(x)<0 in 0<=x<=1 then g(x)

    Text Solution

    |

  8. If f(x)=x+sinx ,g(x)=e^(-x),u=sqrt(c+1)-sqrt(c) v=sqrt(c) -sqrt(c-1),(...

    Text Solution

    |

  9. f(x)=(sin^(2)x)e^(-2sin^(2)x)*max f(x)-min f(x)=

    Text Solution

    |

  10. Given P(x)""=""x^4+""a x^3+""c x""+""d such that x""=""0 is the only ...

    Text Solution

    |

  11. L L ' is the latus sectum of the parabola y^2=4a xa n dP P ' is a doub...

    Text Solution

    |

  12. Let y=x^2 e^(-x) then the interval in which y increases with respect t...

    Text Solution

    |

  13. The function log(1+x) - (2x)/(x+2) is increasing in the interval:

    Text Solution

    |

  14. Prove that the function f(x)=tanx-4x is strictly decreasing on (-pi//3...

    Text Solution

    |

  15. Which one of the following statements is correct in respect of the cur...

    Text Solution

    |

  16. Tangent is drawn to ellipse (x^2)/(27)+y^2=1 at (3sqrt(3)costheta,sint...

    Text Solution

    |

  17. Let domain and range of f(x) and g(x) are respectively (0,oo). If f(x)...

    Text Solution

    |

  18. The volume V and depth x of water in a vessel are connected by the rel...

    Text Solution

    |

  19. Find the maximum value and the minimum value and the minimum value of ...

    Text Solution

    |

  20. Find the points of inflection for f(x)=sinx f(x)=3x^4-4x^3 f(x)=x...

    Text Solution

    |