Sin^3-1 over 4 sin/-90 degree to 90 degree/Curve behavior/Exercise

Discuss the behavior of the function

$f:[-\frac{\pi }{2},\frac{\pi }{2}]⟶ℝ,x⟼f(x)={\sin }^{3}x-\frac{1}{4}\sin x,$

concerning zeros, growth behavior, (local) extrema. Sketch the graph of the function.

Create a solution