Determine whether Rolle's Theorem can be applied to f on the closed interval [a,b]. If Rolle's Theorem can be applied, find all the values of c in the open interval [a,b] such that f^'(c)=0?
The function is given as:
f(x) = (x^2)/(1-x^2) , [-2,2]
The function is given as:
f(x) = (x^2)/(1-x^2) , [-2,2]
1 Answer
Sep 25, 2017
Rolle's theorem cannot be applied to this function.
Explanation:
The function
The hypotheses of Rolle's theorem are therefore not satisfied.
graph{ x^2/(1-x^2) [-10, 10, -5, 5]}