Suppose that the function f has a continuous second derivative for all x, and that f(0)=2, f'(0)=3, and f"(0) =0. Let g be a function whose derivative is given by g'(x)=e^-2x(3f(x)+2f'(x)) for all x.
Show that g"(x)=e^-2x(-6f(x)-f'(x)+2f"(x)) Does g have a local maximum at x=0?

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is that e to the (-2x )then back down, times the rest of that, or is it all raised from e?

back down then the rest of it.

let me look at some more, I'll come back in a few minutes

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