Function Expression :
\[f(x)=4cos(x )-2sin(2x ) \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = \left\langle -6, 6\right\rangle \]\[\lim_{x \rightarrow+\infty}f(x) = \left\langle -6, 6\right\rangle \]
\[ \]
Derivate
\[f^{\,\prime}(x)=- 4 \sin{\left(x \right)} - 4 \cos{\left(2 x \right)} \]\[f^{\,\prime}(x)=4 \left(- \sin{\left(x \right)} - \cos{\left(2 x \right)}\right) \]
Integral
\[F(x) = 4 \sin{\left(x \right)} + \cos{\left(2 x \right)} \]Sign Table
Variation Table
Plot
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