ETO的博客

LHopital′sruleLHopital's ruleLHopital′srule洛必达法则InterminateInterminateInterminate FormFormForm 不定型0/00/00/0 ∞/∞\infty/\infty∞/∞lim⁡x→af(x)g(x)=lim⁡x→af′(x)g′(x)\lim_{x\rightarrow a} \frac{f(x)}{g(x)}=\lim_{x\rightarrow a}\frac{f\prime(x)}{g\prime(x)}x→

一.definition and theorem1. average rate of change  The average rate of change of y=f(x) with respect to x over the interval [x1,x2] isΔyΔx=f(x2)−f(x1)x2−x1=f(x1+h)−f(x1)h,h≠0.\frac{\Delta y}{\Delta x}=\frac{f(x_2)-f(x_1)}{x_2-x_1}=\frac{f(x_1+h)-f(x_1)}

一.相关词汇domaindomaindomain 定义域naturalnaturalnatural domaindomaindomain 自然定义域rangerangerange 值域variablevariablevariable quantityquantityquantity 变量independentindependentindependent variablevariablevariable 自变量dependentdependentdependent variablevariable