a. Let f(x) be a function satisfying |f(x)| < x² for –1 < x < 1. Show that f is differentiable at x = 0 and find f'(0). b. Show that (*sinţ. |x²sin, x + 0 f(x) : 0, is differentiable at x = 0 and find f'(0).
a. Let f(x) be a function satisfying |f(x)| < x² for –1 < x < 1. Show that f is differentiable at x = 0 and find f'(0). b. Show that (*sinţ. |x²sin, x + 0 f(x) : 0, is differentiable at x = 0 and find f'(0).
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 18E
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