Proof Let be a differentiable function of Use the fact that to prove that

Chapter 3, Problem 182

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Proof Let be a differentiable function of x. Use the fact that \(|u|=\sqrt{u^{2}}\) to prove that \(\frac{d}{d x}[|u|]=u^{\prime} \frac{u}{|u|}, \quad u \neq 0/)

Text Transcription:

|u|=sqrt u^2

d/dx[|u|]=u^prime u/|u|, u neq 0

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