Applications Of Derivatives Question 397

Question: 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

Options:

A) 11, - 6

B) - 6, 11

C) -11, 6

D) 6, -11

Show Answer

Answer:

Correct Answer: A

Solution:

$ f(1)=f(3)\Rightarrow a+b-5=3a+b-27\Rightarrow a=11 $ , which is given in option only.