Homework SourseDetermine whether Rolles theorem can be applied to the funct
Determine whether Rolles theorem can be applied to the function.
f(x)=(x-5)(x-6)(x-7) on the closed interval [5,7].If rolles theorem can be applied,find all numbers c in the open interval (5,7) such that f \' (c)=0 if rolles theorem can not be applied explain
f(x)=(x-5)(x-6)(x-7) on the closed interval [5,7].If rolles theorem can be applied,find all numbers c in the open interval (5,7) such that f \' (c)=0 if rolles theorem can not be applied explain
Solution
f(5) = f(7) = 0 Hence rollers theorem can be applied in [5,7].So there should be a c for which f\' = 0 f\' = 3x^2 -36x+107 =0 x = 6+1/root 3 or x = 6-1/root3![Determine whether Rolles theorem can be applied to the function. f(x)=(x-5)(x-6)(x-7) on the closed interval [5,7].If rolles theorem can be applied,find all num](/WebImages/36/determine-whether-rolles-theorem-can-be-applied-to-the-funct-1105986-1761585370-0.webp "Determine whether Rolles theorem can be applied to the function. f(x)=(x-5)(x-6)(x-7) on the closed interval [5,7].If rolles theorem can be applied,find all num")
