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Which of the following expressions yields the best approximation to

df/dx (h<<1)?

A. [tex]\frac{f(x+h)-f(x)}{h}[/tex]

B. [tex]\frac{f(x+\frac{h}{2})-f(x-\frac{h}{2})}{h}[/tex]

C. [tex]\frac{f(x)-f(x-h)}{h}[/tex]

D. [tex]\frac{f(x+h)-f(x-h)}{h}[/tex]

From school days I have been taught A which is almost the same as C

I would like B to be the correct.What do other people think?

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# Which expression yields the best approximation to df/dx (h 1)?

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