Let f: X Y be differentiable at x0 with derivative Df[x0], and let x be a vector

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Let f: X †’ Y be differentiable at x0 with derivative Df[x0], and let x be a vector of unit norm (||x|| = 1). Show that the directional derivative of f at x0 in the direction x is the value of the linear function Df[x0] at x, that is,

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Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

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Question Posted: May 02, 2016 11:50 AM

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Let f: X Y be differentiable at x0 with derivative Df[x0], and let x be a vector

Question:

D,f[x°] = Df[x°](x)

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Using 43 we have f...View the full answer

Foundations of Mathematical Economics

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