Practice problem
Find the intervals on which the function f(x)=12x4−2x3−52x2+15xf(x)=\frac{1}{2}x^4-2x^3-\frac{5}{2}x^2+15xf(x)=21x4−2x3−25x2+15x is increasing and decreasing.
(−∞,−102) ↗(-\infty,-\frac{\sqrt{10}}{2})\ \nearrow(−∞,−210) ↗
(−∞,−102) ↘(-\infty,-\frac{\sqrt{10}}{2})\ \searrow(−∞,−210) ↘
(−102,102) ↗(-\frac{\sqrt{10}}{2},\frac{\sqrt{10}}{2})\ \nearrow(−210,210) ↗
(−102,102) ↘(-\frac{\sqrt{10}}{2},\frac{\sqrt{10}}{2})\ \searrow(−210,210) ↘
(102,3) ↗(\frac{\sqrt{10}}{2},3)\ \nearrow(210,3) ↗
(102,3) ↘(\frac{\sqrt{10}}{2},3)\ \searrow(210,3) ↘
(3,∞) ↗(3,\infty)\ \nearrow(3,∞) ↗
(3,∞) ↘(3,\infty)\ \searrow(3,∞) ↘
Type a concept, like “slope” or “photosynthesis”.