Example (film) | Wiskunde op Tilburg University

We determine the second-order derivative of $y(x)=e^{5x}+\textrm{ln}(2x)+8x^3$ .

$y'(x)=5e^{5x}+\dfrac{2}{2x}+24x^2=5e^{5x}+x^{-1}+24x^2$ .

$y''(x)=25e^{5x}-x^{-2}+48x$ .