Find All the Critical Numbers of the Function $g(x)=7 x+\sin (7 x)$

question 52

Multiple Choice

Find all the critical numbers of the function. $g(x) =7 x+\sin (7 x)$

• A) \(\frac{\pi n}{7}\)
• B) \(\frac{\pi(2 n+1)}{28}\)
• C) \(\frac{\pi(2 n+1)}{7}\)
• D) \(\frac{\pi}{14}\)
• E) None of these

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Definitions:

Function

A relation between a set of inputs and a set of permissible outputs, specifying a single output for each input.

Production Function

An equation that describes the relationship between the quantities of productive factors used and the amount of product obtained.

Returns To Scale

Describes how the output of a production process changes as all inputs are scaled up or down by the same proportion.

Input

Resources used in the production process to generate output, including labor, capital, materials, and energy.