Q:
What is the relation between f(a) and f(h) according to another form of Rolle’s theorem?
Answer & Explanation
Answer: B) f(a) = f(a+h)
Explanation: According to Rolle’s theorem, if f : [a,a+h] ? R is a function such that
i) f is continuous on [a,a+h]
ii) f is differentiable on (a,a+h)
iii) f(a) = f(a+h) then there exists at least one ? c ? (0,1) such that f’(a+?h) = 0
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