Function Expression :
\[f(x)=\sqrt{2x}+3x \]Domain
\[\left[0, \infty\right[ \]Limits
\[\lim_{x \overset{>}{\rightarrow0} }f(x) = 0 \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=3 + \frac{\sqrt{2} \sqrt{x}}{2 x} \]\[f^{\,\prime}(x)=3 + \frac{\sqrt{2}}{2 \sqrt{x}} \]
\[f^{\,\prime}(x)=\frac{6 \sqrt{x} + \sqrt{2}}{2 \sqrt{x}} \]
Integral
\[F(x) = \frac{2 \sqrt{2} x^{\frac{3}{2}}}{3} + \frac{3 x^{2}}{2} \]Sign Table
Variation Table
Plot
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