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Theory and ExamplesUnique solution Assume that ƒ is
Chapter 4, Problem 61E(choose chapter or problem)
QUESTION:
Problem 61E
Theory and Examples
Unique solution Assume that ƒ is continuous on [a, b] and differentiable on (a, b). Also assume that ƒ(a) and ƒ(b) have opposite signs and that between a and b. Show that exactly once between a and b.
Questions & Answers
QUESTION:
Problem 61E
Theory and Examples
Unique solution Assume that ƒ is continuous on [a, b] and differentiable on (a, b). Also assume that ƒ(a) and ƒ(b) have opposite signs and that between a and b. Show that exactly once between a and b.
ANSWER:
Solution:
Step 1 of 2
In this problem, we have to show that exactly once between
and
if
is
continuous on and differentiable on
.