Function Expression :
\[f(x)=\frac{1+cos(2x )}{2} \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = \left\langle 0, 1\right\rangle \]\[\lim_{x \rightarrow+\infty}f(x) = \left\langle 0, 1\right\rangle \]
\[ \]
Derivate
\[f^{\,\prime}(x)=- \sin{\left(2 x \right)} \]\[ \]
Integral
\[F(x) = \frac{x}{2} + \frac{\sin{\left(2 x \right)}}{4} \]Sign Table
Variation Table
Plot
Elapsed Time: 0.0241 seconds