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How should I derive the truncation error bound and rounding error bound in the forward Euler method?

$f^{\prime}(x) \approx \frac{f(x+h)-f(x)}{h}$

I know that the bound for truncation error is 2M/h where h is the step size and rounding error bound is 2 eps/h, but I can't figure out how to derive these expressions

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