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# ?Using the Alternative Form of the Derivative In Exercises 65–74, use the alternative form of the derivative to find the derivative at $$x=c$$ (if it e

ISBN: 9781285774770 141

## Solution for problem 69 Chapter 3.1

Calculus: Early Transcendental Functions | 6th Edition

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Problem 69

Using the Alternative Form of the Derivative In Exercises 65–74, use the alternative form of the derivative to find the derivative at $$x=c$$ (if it exists).

$$g(x)=\sqrt{|x|}, \quad c=0$$.

Text Transcription:

x=c

g(x)=sqrt |x|, c=0

Step-by-Step Solution:

Step 1 of 5) Many important vector fields arising in applications are indeed gradient fields. The next result, which follows from Theorem 1, shows that any conservative field is of this type.

Step 2 of 2

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?Using the Alternative Form of the Derivative In Exercises 65–74, use the alternative form of the derivative to find the derivative at $$x=c$$ (if it e