Problem

Make the given changes in the indicated examples …

Problem 1 Easy Difficulty

Make the given changes in the indicated examples of this section and then solve the resulting problems.
In Example $2,$ in the given function, change cos to sin.

Answer

Int. $(0,0),(\pi, 0),(2 \pi, 0)$
$\max .\left(\frac{\pi}{4}, 0.322\right)$
min. $\left(\frac{5 \pi}{4},-0.014\right)$
infl. $\left(\frac{\pi}{2}, 0.208\right)$

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Calculus 1 / AB

Basic Technical Mathematics with Calculus

Chapter 27

Differentiation of Transcendental Functions

Section 8

Applications

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Video Transcript

Hi guys. So today we are looking at Question 55 which states that for the following exercise rewrite in terms of sine X in Kasai Next. So here we have co sign of experts to pi over three. And so let's get started. So we're gonna use this some indifference identity. So here we're looking at the some identity of Coast language states that co sign of here. Let's make this bigger. That coast sight of you plus v is equal to co sign you Times co sign B minus sign you times sine b. And so in this case, we're going to label this as you and this SB. So now we just have to plug everything in. So no, we have co sign X Times Co sign to pi over three minus sign X times Sign to pi over three and that gives us co sign hoops. Yeah, co sign X times negative 1/2 because Cho sang to pi over three is you could have negative 1/2 minus sign X times signed two pi over three, which is Route 3/2. And so now to make that look pretty, put our coefficients out in front of our triggered a metric identities. And so now, to simplify this, we would take out the negative 1/2. So we have negative 1/2 times co sign X Plus, Route three sine X, and this is your family answer.

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Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

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