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Mathematics 15 Online
OpenStudy (anonymous):

MEDALS

OpenStudy (anonymous):

I haven't used a graphing calculator in years, but I guess you can just find the derivative and set it to 0 and solve.

OpenStudy (anonymous):

and that would be e^-sin(x)

OpenStudy (anonymous):

Wrong, remember the chain rule?

OpenStudy (anonymous):

And the derivative of e^x?

OpenStudy (anonymous):

is it e^2?

OpenStudy (anonymous):

No, the derivative is \[-sinx(e^{cosx})\]

OpenStudy (anonymous):

ohh ok

OpenStudy (anonymous):

I'm not sure if there are even roots for this problem

OpenStudy (anonymous):

I guess you'll need a calculator for the rest of it, try looking for a graphing calculator online, prob find one.

OpenStudy (anonymous):

found one @iambatman https://www.desmos.com/calculator

OpenStudy (anonymous):

is it 3? @aum

OpenStudy (anonymous):

@jdoe0001 PLEASE

OpenStudy (freckles):

just find when the following is true on the unit circle \[\sin(x)=0 \]

OpenStudy (freckles):

since e^cos(x)) will never be 0 the only factor that can be 0 is the sin(x) factor

OpenStudy (anonymous):

so it would be 2

OpenStudy (jdoe0001):

http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiItc2luKHgpKmVeKGNvcyh4KSkiLCJjb2xvciI6IiNENjI3MjcifSx7InR5cGUiOjEwMDB9XQ-- you can zoom in/out using the middle-mouse button, and you can also drag with the mouse if you need a graphing calculator http://www.graphcalc.com/download.shtml or you can also use https://www.desmos.com/calculator

OpenStudy (anonymous):

Yeah I figured there were no solutions, but use the graphing calculator as it will probably give you a better answer.

OpenStudy (freckles):

yes @mondona one at x=0 and one at x=2pi But I guess that is actually without a graphing calc

OpenStudy (freckles):

If you wanted to do it just with your graphing calculator..you don't even really need to find f'

OpenStudy (anonymous):

thank you(:

OpenStudy (freckles):

Just graph the original function f and see where you have horizontal tangents from x=0 to x=2pi including at those numbers

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