If r(t) is a nonzero differentiable function of t, prove that                            d/dt[ ||r(t) || ] = r(t) ∙ r′(t) / ||r(t)||

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
Problem 2EQ
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If r(t) is a nonzero differentiable function of t, prove that                            d/dt[ ||r(t) || ] = r(t) ∙ r′(t) / ||r(t)||

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