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March 1, 2015

March 1, 2015

Posted by **Yoona** on Sunday, December 18, 2011 at 11:24pm.

a. Find the coordinate of all maximum and minimum points on the given interval. Justify your answers.

b. Find the coordinates of all points of inflection on the given interval. Justify your answers.

please be explisive!

thanks!

- calculus -
**Damon**, Monday, December 19, 2011 at 1:53amdy/dx = 1 + cos x

0 when cos x = -1

that is when x = pi

d^2y/dx^2 = -sin x

-sin x = 0 when x = pi

so this is not a max or min but a point of inflection

- calculus -
**Damon**, Monday, December 19, 2011 at 1:58amnow look at the ends

at x = - pi/2

y = - pi/2 + sin(-pi/2) = -pi/2 -1

minimum I bet

at x = 3 pi/2

y = 3 pi/2 + sin (3 pi/2) = 3 pi/2 -1

maximum

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