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Question is attached in photo Function : f(x)=x+2 sin x

Question is attached in photo Function : f(x)=x+2 sin x-example-1
User Stevegt
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Answer:

The function is given below as


f(x)=x+2\sin x

Using the interval below


0\leq x\leq2\pi

A relative maximum point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph).

Similarly, a relative minimum point is a point where the function changes direction from decreasing to increasing (making that point a "bottom" in the graph).

Using a graphing tool, we will have the relative maximum and relative minimum to be

Hence,

The relative maximum is at


((2\pi)/(3),3.826)

The relative minimum is at


((4\pi)/(3),2.457)

Question is attached in photo Function : f(x)=x+2 sin x-example-1
User Harshad Prajapati
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