Home
Class 11
MATHS
A cubic f(x)=ax^(3)+bx^(2)+cx+d vanishes...

A cubic `f(x)=ax^(3)+bx^(2)+cx+d` vanishes at x=-2 and has relative maximum/minimum at x=-1 and `x=1//3andifint_(1)^(1)f(x)dx=(14)/(3)`
The value of c is

A

`-2`

B

`-1`

C

0

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (PRACTICE SHEET )(ADVANCED)) (INTEGER TYPE QUESTIONS)|3 Videos
  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (PRACTICE SHEET )(ADVANCED)) (MATRIX MATCHING TYPE QUESTIONS)|2 Videos
  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos
  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

Similar Questions

Explore conceptually related problems

A cubic f(x)=ax^(3)+bx^(2)+cx+d vanishes at x=-2 and has relative maximum/minimum at x=-1 and x=1//3andifint_(1)^(1)f(x)dx=(14)/(3) The value of 'd' is

A cubic f(x)=ax^(3)+bx^(2)+cx+d vanishes at x=-2 and has relative maximum/minimum at x=- 1 and x=1//3 if int_(-1)^(1)f(x)dx=(14)/(3) f(x) decreases in the interval

If f(x)=ax^(5)+bx^(3)+cx+d is odd then

If f(x)=2x^(3)-3x^(2)-x+1 Then f(x-1)

If f(x)=sqrtx,g(x)=x^2+1 then the point at which (fog)(x) has relative minimum is

Let a, b in R be such that the function f given by f(x)= ln |x|+bx^(2)+ax, x ne0 has extreme values at x=-1 and x=2 Statemet-I : f has local maximum at x=-1 and x=2. Statement- II: a=(1)/(2),b=(-1)/(4)

f(x)=(x-1)(x-2)(x-3) is minimum at x=