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.