Home/Differential Calculus/Increasing and decreasing/Formula8.1. Increasing and decreasingFormulaIn 8.1. Increasing 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]TagsAnalysisIncreasing and decreasingDifferential calculusDerivativeVariablesxxxIndependent variableaaaPoint or real constantbbbInterval endpoint or constantfffFunctionf′f'f′Derivative of fffRelated topicsOptimizationFound an error? Contact us.Related formulasRelatedFormulaf′(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]Open formulaOpen in section