Function Expression :
\[f(x)=4x^2-ln x+1 \]Domain
\[\left]0, \infty\right[ \]Limits
\[\lim_{x \overset{>}{\rightarrow0} }f(x) = +\infty \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=8 x - \frac{1}{x} \]\[f^{\,\prime}(x)=\frac{8 x^{2} - 1}{x} \]
Integral
\[F(x) = \frac{4 x^{3}}{3} - x \log{\left(x \right)} + 2 x \]Sign Table
Variation Table
Plot
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