先用一次洛必達(dá)法則,(注意對(duì)h求導(dǎo),x是定值),分子是f'(x+h)-f'(x-h),分母是2h,改為0.5*
[f'(x+h)-f'(x)]/h+[f'(x-h)-f'(x)]/(-h),兩部分都用導(dǎo)數(shù)的定義得極限是f''(x)
設(shè)f(x)具有二階導(dǎo)數(shù)f''(x),證明f''(x)=lim(f(x+h)-2f(x)+f(x-h))/h^2
設(shè)f(x)具有二階導(dǎo)數(shù)f''(x),證明f''(x)=lim(f(x+h)-2f(x)+f(x-h))/h^2
數(shù)學(xué)人氣:947 ℃時(shí)間:2019-08-19 06:47:13
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