Function Expression :
\[f(x)=3\sqrt{x}-3\frac{x}{8} \]Domain
\[\left[0, \infty\right[ \]Limits
\[\lim_{x \overset{>}{\rightarrow0} }f(x) = 0 \]\[\lim_{x \rightarrow+\infty}f(x) = -\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=- \frac{3}{8} + \frac{3}{2 \sqrt{x}} \]\[f^{\,\prime}(x)=\frac{3 \cdot \left(4 - \sqrt{x}\right)}{8 \sqrt{x}} \]
Integral
\[F(x) = 2 x^{\frac{3}{2}} - \frac{3 x^{2}}{16} \]Sign Table
Variation Table
Plot
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