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Sin^3-1 over 4 sin/-90 degree to 90 degree/Curve behavior/Exercise
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Discuss the behavior of the function
f
:
[
−
π
2
,
π
2
]
⟶
R
,
x
⟼
f
(
x
)
=
sin
3
x
−
1
4
sin
x
,
{\displaystyle f\colon [-{\frac {\pi }{2}},{\frac {\pi }{2}}]\longrightarrow \mathbb {R} ,x\longmapsto f(x)=\sin ^{3}x-{\frac {1}{4}}\sin x,}
concerning zeros, growth behavior, (local) extrema. Sketch the graph of the function.
Create a solution