例 The graphs of s and v as functions of time;s is 256 largest when v=ds/dt 0.The graph of s is not the path of the rock:It is a plot of height versus time.The slope of the plot is the rock's velocity =160r-162 graphed here as a straight line. 160 p==160-32
例 The graphs of s and v as functions of time; s is largest when v = ds/dt = 0. The graph of s is not the path of the rock: It is a plot of height versus time. The slope of the plot is the rock’s velocity graphed here as a straight line
连续与可导的关系 若函数在一点可导,则在该点必连续。反之不成立。 :lmf+0-f)=fx) r-→0 △x f+A)-f)=f(x)+a(.(其中lima()=0 △x 等式两边同乘以△x,得到 f(x+△x)-f(x)=f'(x)△x+a(△x)△x=f'(x)△x+o(△x)
连续与可导的关系 若函数在一点可导,则在该点必连续。反之不成立。 0 0 0 0 0 0 0 0 0 0 0 0 ( ) ( ) lim ( ) ( ) ( ) ( ) ( ), lim ( ) 0 ( ) ( ) ( ) ( ) ( ) ( ) x x f x x f x f x x f x x f x f x x x x x f x x f x f x x x x f x x x 其中 等式两边同乘以 ,得到