Function Expression :
\[f(x)=4sin(x )+cos(2x ) \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = \left\langle -5, 5\right\rangle \]\[\lim_{x \rightarrow+\infty}f(x) = \left\langle -5, 5\right\rangle \]
\[ \]
Derivate
\[f^{\,\prime}(x)=- 2 \sin{\left(2 x \right)} + 4 \cos{\left(x \right)} \]\[f^{\,\prime}(x)=2 \left(- \sin{\left(2 x \right)} + 2 \cos{\left(x \right)}\right) \]
Integral
\[F(x) = \frac{\sin{\left(2 x \right)}}{2} - 4 \cos{\left(x \right)} \]Sign Table
Variation Table
Plot
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