Function Expression :
\[f(x)=cos(\frac{x}{2} ) \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = \left\langle -1, 1\right\rangle \]\[\lim_{x \rightarrow+\infty}f(x) = \left\langle -1, 1\right\rangle \]
\[ \]
Derivate
\[f^{\,\prime}(x)=- \frac{\sin{\left(\frac{x}{2} \right)}}{2} \]\[f^{\,\prime}(x)=- \frac{\sin{\left(\frac{x}{2} \right)}}{2} \]
\[ \]
Integral
\[F(x) = 2 \sin{\left(\frac{x}{2} \right)} \]Sign Table
Variation Table
Plot
Elapsed Time: 0.0039 seconds