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Mathematics 14 Online
OpenStudy (user123):

calc help #2

OpenStudy (user123):

OpenStudy (juan1857):

umm, what's the question?

OpenStudy (user123):

the picture

OpenStudy (danjs):

Sketch, y = x - sin(x) , [0,2pi]

OpenStudy (user123):

Not x+sinx?

OpenStudy (user123):

If the funtion does not have critical points, it does not have a min or max either.

OpenStudy (danjs):

no, a max or min happens at critical points, the tangent there is horizontal, and the function changes inc/dec

OpenStudy (danjs):

\[y = x+\sin(x)\] \[y'=1+\cos(x)\] \[y ''=-\sin(x)\]

OpenStudy (danjs):

I would first notice that there are no asmytotes, function is always defined Then, plot the points on the ends, y(0) and y(pi) points (0,0) and (pi , pi) |dw:1477631140422:dw|

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