Home/Differential Calculus/Derivative and geometric interpretation/Definition of the derivativeSection 4.1Definition of the derivativeFormulavizCopy LaTeXf′(x)=limh→0f(x+h)−f(x)hf'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}f′(x)=h→0limhf(x+h)−f(x)Derivative defined as the limit of the difference quotient.View detail →FormulaCopy LaTeXf′(a)=limx→af(x)−f(a)x−af'(a)=\lim_{x\to a}\frac{f(x)-f(a)}{x-a}f′(a)=x→alimx−af(x)−f(a)View detail →
FormulavizCopy LaTeXf′(x)=limh→0f(x+h)−f(x)hf'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}f′(x)=h→0limhf(x+h)−f(x)Derivative defined as the limit of the difference quotient.View detail →
FormulaCopy LaTeXf′(a)=limx→af(x)−f(a)x−af'(a)=\lim_{x\to a}\frac{f(x)-f(a)}{x-a}f′(a)=x→alimx−af(x)−f(a)View detail →