Function Expression :
\[f(x)=\frac{\sqrt{4x+5}}{6} \]Domain
\[\left[- \frac{5}{4}, \infty\right[ \]Limits
\[\lim_{x \overset{>}{\rightarrow- \frac{5}{4}} }f(x) = 0 \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=\frac{1}{3 \sqrt{4 x + 5}} \]\[f^{\,\prime}(x)=\frac{1}{3 \sqrt{4 x + 5}} \]
\[ \]
Integral
\[F(x) = \frac{\left(4 x + 5\right)^{\frac{3}{2}}}{36} \]Sign Table
Variation Table
Plot
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