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导数的理解f'(x0)=limf(x0+△x)-f(x0)/△x ,△x趋向0,这是y=f(x)的一个基本导数公式,△x

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导数的理解
f'(x0)=limf(x0+△x)-f(x0)/△x ,△x趋向0,这是y=f(x)的一个基本导数公式,
△x 趋近0时,等式左边不是趋近无穷大吗,怎么还会有个导数呢,怎么能说△y/△x,当△x趋近0时它有极限且是个常数呢?
f '(x0) = lim [f (x0 + △ x)-f (x0)] / △ x
f (x0 + △ x)-f (x0)] is a function from x0,to x0 + △ x = △ y amount of change
△ x approaches 0,f (x0 + △ x)-f (x0)] do not approach infinity
If △ x tends to 0 when it has a limit,that is,the derivative of x0
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Still can not quite understand,but I know you said is right.Again explain?Secant slope limit fertility problems I see,but why use this formula that division,I think is not perfect.You say?
再问: first,Thank you very much.I agree with you .I also think this formula is not perfect.