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Sine times cosine/Curve behavior/Exercise
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Discuss the behavior of the function
f
:
[
0
,
2
π
]
⟶
R
,
x
⟼
f
(
x
)
=
sin
x
cos
x
,
{\displaystyle f\colon [0,2\pi ]\longrightarrow \mathbb {R} ,x\longmapsto f(x)=\sin x\cos x,}
concerning zeros, growth behavior, (local) extrema. Sketch the graph of the function.
Create a solution