Practice problem
Find the intervals on which the function f(x)=x2lnx2f(x)=x^2\ln x^2f(x)=x2lnx2 is increasing and decreasing.
(−∞,−1e) ↗(-\infty,-\frac{1}{\sqrt e})\ \nearrow(−∞,−e1) ↗
(−∞,−1e) ↘(-\infty,-\frac{1}{\sqrt e})\ \searrow(−∞,−e1) ↘
(−1e,0) ↗(-\frac{1}{\sqrt e},0)\ \nearrow(−e1,0) ↗
(−1e,0) ↘(-\frac{1}{\sqrt e},0)\ \searrow(−e1,0) ↘
(0,1e) ↗(0,\frac{1}{\sqrt e})\ \nearrow(0,e1) ↗
(0,1e) ↘(0,\frac{1}{\sqrt e})\ \searrow(0,e1) ↘
(1e,∞) ↗(\frac{1}{\sqrt e},\infty)\ \nearrow(e1,∞) ↗
(1e,∞) ↘(\frac{1}{\sqrt e},\infty)\ \searrow(e1,∞) ↘
Type a concept, like “slope” or “photosynthesis”.