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10th Edition

Ron Larson + 1 other

ISBN: 9781285057095

Textbook Problem

ProofIn Exercises 61–68, prove the property. In each case, assume

To determine

**To prove:** The expression

Explanation

**Given:**

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.

**Formula used:**

The product rule is:

**Proof:**

Let *t*.

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

Then,

Now differentiate with respect to *t*,

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

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