Home/Differential Calculus/Function analysis/ConcavitySection 8.2ConcavityFormulavizCopy LaTeXf′′(x)>0 on I⇒f concave up on If''(x)>0\text{ on }I \Rightarrow f\text{ concave up on }If′′(x)>0 on I⇒f concave up on IView detail →FormulaCopy LaTeXf′′(x)<0 on I⇒f concave down on If''(x)<0\text{ on }I \Rightarrow f\text{ concave down on }If′′(x)<0 on I⇒f concave down on IView detail →
FormulavizCopy LaTeXf′′(x)>0 on I⇒f concave up on If''(x)>0\text{ on }I \Rightarrow f\text{ concave up on }If′′(x)>0 on I⇒f concave up on IView detail →
FormulaCopy LaTeXf′′(x)<0 on I⇒f concave down on If''(x)<0\text{ on }I \Rightarrow f\text{ concave down on }If′′(x)<0 on I⇒f concave down on IView detail →