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[f(x) ± g(x)]' = f'(x) ± g'(x)
[f(x)g(x)]' = f'(x)g(x) + f(x)g'(x)
[f(x)/g(x)]' = [f'(x)g(x) + f(x)g'(x)] / [g(x)]^2
f[g(x)]' = g'(x)f'[g(x)]
{f(x)^[g(x)]}' = {e^[g(x)lnf(x)]}' = {e^[g(x)lnf(x)]}[g(x)lnf(x)]'
= f(x)^[g(x)] [g'(x)lnf(x) + g(x)f'(x)/f(x)]
[f(x)g(x)]' = f'(x)g(x) + f(x)g'(x)
[f(x)/g(x)]' = [f'(x)g(x) + f(x)g'(x)] / [g(x)]^2
f[g(x)]' = g'(x)f'[g(x)]
{f(x)^[g(x)]}' = {e^[g(x)lnf(x)]}' = {e^[g(x)lnf(x)]}[g(x)lnf(x)]'
= f(x)^[g(x)] [g'(x)lnf(x) + g(x)f'(x)/f(x)]
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