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In advanced mathematics, where you zoom in and out, that derivative will become larger if you add an absolute value? What's going on here?
|a|≥a (the absolute value of any real number is greater than or equal to itself. )

When a≥0, | a | = a

When a<0, | a | =-a>;; a

So |a|≥a

Similarly |f'(x)|≥f'(x)

f(x)-f'(x)≥f(x)-|f'(x)|

e^(-x)[f(x)-f'(x)]≥e^(-x)[f(x)-|f'(x)|]

I hope it helps you.