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10th Edition

Ron Larson + 1 other

ISBN: 9781285057095

Textbook Problem

Proof **In Exercises 61-68, prove the property. In each case, assume r, u, and v are differentiable vector-valued functions of t in space, w is a differentiable real-valued function of t, and c is a scalar.**

To determine

**To prove:** The provided expression

Explanation

**Given:**

Assume ** r, u**, and

**Formula used:**

The product rule of differentiation is,

**Proof:**

Let the function **r** of *t* in space is,

Where *t*.

Let *w* is a differentiable real-valued function of *t*.

Then, the function **r** is,

Now differentiate with respect to *t* both side of the above function.

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P-10PSCh-12 P-11PSCh-12 P-12PSCh-12 P-13PSCh-12 P-14PS

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