Practice problem
Find the intervals on which the function f(x)=xex(x2ex)f(x)=xe^x(x^2e^x)f(x)=xex(x2ex) is increasing and decreasing.
(−∞,−32) ↗(-\infty,-\frac32)\ \nearrow(−∞,−23) ↗
(−∞,−32) ↘(-\infty,-\frac32)\ \searrow(−∞,−23) ↘
(−32,0) ↗(-\frac32,0)\ \nearrow(−23,0) ↗
(−32,0) ↘(-\frac32,0)\ \searrow(−23,0) ↘
(0,∞) ↗(0,\infty)\ \nearrow(0,∞) ↗
(0,∞) ↘(0,\infty)\ \searrow(0,∞) ↘
Type a concept, like “slope” or “photosynthesis”.