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 'd' is

A

5

B

2

C

0

D

`-4`

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 c 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) =ax^(5) + bx^(3) + cx +d is an odd function, then d=

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

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