2. Let f be continuous and differentiable everywhere. Suppose that f(-1) = f(1). Show that there are two distinct real numbers x1 and x2 such that f'(x1) = -f'(x2).
2. Let f be continuous and differentiable everywhere. Suppose that f(-1) = f(1). Show that there are two distinct real numbers x1 and x2 such that f'(x1) = -f'(x2).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Explain why exactly x1 and x2 exists before proving please. Thank you
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