8. Given f(x+ y) = f(x) + f(y) + 2xy for all a, y E R and f'(0) = 0. Find f(0), f'(r), and f(x).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 19E
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8. Given f(x + y) = f(x) + f(y) + 2xy for all x, y € R and f'(0) = 0. Find f(0), f'(x), and f(x).
Transcribed Image Text:8. Given f(x + y) = f(x) + f(y) + 2xy for all x, y € R and f'(0) = 0. Find f(0), f'(x), and f(x).
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