Home
Class 12
MATHS
If the function f(x) = x^(3) - 6x^(2) + ...

If the function `f(x) = x^(3) - 6x^(2) + ax + b` satisfies Rolle's theorem in the interval [1,3] and `f'[(2sqrt(3)+1)/sqrt(3)]=0`, then a=

A

`-11`

B

`-6`

C

6

D

11

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    ML KHANNA|Exercise SELF ASSESSMENT TEST (MULTIPLE CHOICE QUESTIONS) |26 Videos

  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    ML KHANNA|Exercise SELF ASSESSMENT TEST (TRUE AND FALSE TYPE QUESTIONS) |1 Videos

  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    ML KHANNA|Exercise PROBLEM SET (4)|20 Videos

  • INVERSE CIRCULAR FUNCTIONS

    ML KHANNA|Exercise Self Assessment Test|25 Videos

  • LINEAR PROGRAMMING

    ML KHANNA|Exercise Self Assessment Test|8 Videos

Similar Questions

Explore conceptually related problems

If the function f(x)=x^(3)-6x^(2)+ax+b satisfies Rolle's theorem in the interval [1,3] and f'((sqrt(3)+1)/(sqrt(3)))=0 , then

If the function f(x)=x^(3)-6x^(2)+ax+b defined on [1,3] satisfies Rolles theorem for c=(2sqrt(3)+1)/(sqrt(3)) then find the value of a and b

The function f(x)=x^(3)-6x^(2)+ax+b satisfy the conditions of Rolle's theorem in [1,3] .The values of a and b are

The function f(x) =x^(3) - 6x^(2)+ax + b satisfy the conditions of Rolle's theorem on [1,3] which of these are correct ?

If the function f(x)=ax^(3)+bx^(2)+11x-6 satisfies condition of Rolle's theorem in [1, 3] for x=2+(1)/(sqrt(3)) then value of a and b are respectively (A) 1, -6 (B) 2, -4 (C) 1, 6 (D) None of these.

If the function f(x)=ax^(3)+bx^(2)+11x-6 satisfies conditions of Rolles theorem in [1,3] for x=2+(1)/(sqrt(3)), then values of a and b respectively,are -3,2(b)2,-41,6(d) none of these

If f(x)=x^(3)+bx^(2)+ax satisfies the conditions on Rolle's theorem on [1,3] with c=2+(1)/(sqrt(3))

The function f(x)=x(x+3)e^(-(1/2)x) satisfies the conditions of Rolle's theorem in (-3,0). The value of c, is