Let L be a differentiable function for all x. Prove that if L(a + b) = L(a)

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Let L be a differentiable function for all x. Prove that if L(a + b) = L(a) + L(b) for all a and b, then L'(x) = L'(0) for all x. What does the graph of L look like?

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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Question Posted: Feb 13, 2023 05:04 AM

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Let L be a differentiable function for all x. Prove that if L(a + b) = L(a)

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Lx lim 10 Lx 4x Lx Also L0 x 0 But Z0 ...View the full answer

Calculus

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