Home
Class 12
MATHS
The condition that f(x) =ax^3+bx^2+cx+d ...

The condition that `f(x) =ax^3+bx^2+cx+d` has no extreme value is

A

`b^2=4ac`

B

`b^2=3ac`

C

`b^2lt 3ac`

D

`b^2gt 3ac`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-1 (SPECIAL TYPE QUESTIONS)|14 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-2 (SPECIAL TYPE QUESTIONS)|11 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos
  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos
  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

The condition for f(x) =x^3+px^2+qx+r^',x in R) to have no extreme value , is

The condition that the roots of x^(3) -bx^(2) + cx - d = 0 are in geometric progression is:

The condition that the roots of x^3 -bx^2 +cx -d=0 are in G.P 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)

The function f(x) =x^3+ax^2+bx+c,a^2lt=3b has

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