Home/Differential Calculus/Function analysis/Increasing and decreasingSection 8.1Increasing and decreasingFormulaCopy LaTeXf′(x)>0 on (a,b)⇒f increasing on [a,b]f'(x)>0\text{ on }(a,b) \Rightarrow f\text{ increasing on }[a,b]f′(x)>0 on (a,b)⇒f increasing on [a,b]View detail →FormulaCopy LaTeXf′(x)<0 on (a,b)⇒f decreasing on [a,b]f'(x)<0\text{ on }(a,b) \Rightarrow f\text{ decreasing on }[a,b]f′(x)<0 on (a,b)⇒f decreasing on [a,b]View detail →
FormulaCopy LaTeXf′(x)>0 on (a,b)⇒f increasing on [a,b]f'(x)>0\text{ on }(a,b) \Rightarrow f\text{ increasing on }[a,b]f′(x)>0 on (a,b)⇒f increasing on [a,b]View detail →
FormulaCopy LaTeXf′(x)<0 on (a,b)⇒f decreasing on [a,b]f'(x)<0\text{ on }(a,b) \Rightarrow f\text{ decreasing on }[a,b]f′(x)<0 on (a,b)⇒f decreasing on [a,b]View detail →