Esercizio
$\frac{d^2}{dx^2}\left(\frac{\ln\left(4x\right)}{x^4}\right)$
Soluzione passo-passo
Passi intermedi
1
Trovare la derivata ($1$)
$\frac{\frac{x^4}{x}-4x^{3}\ln\left(4x\right)}{x^{8}}$
Passi intermedi
$\frac{x^4-4x^{4}\ln\left(4x\right)}{x^{9}}$
Passi intermedi
3
Trovare la derivata ($2$)
$\frac{\left(4x^{3}-4\left(\frac{x^{4}}{x}+4x^{3}\ln\left(4x\right)\right)\right)x^{9}-9\left(x^4-4x^{4}\ln\left(4x\right)\right)x^{8}}{x^{18}}$
Passi intermedi
$\frac{\left(4x^{3}+\frac{-4\left(x^{4}+4x^{4}\ln\left(4x\right)\right)}{x}\right)x^{9}-9\left(x^4-4x^{4}\ln\left(4x\right)\right)x^{8}}{x^{18}}$
Risposta finale al problema
$\frac{\left(4x^{3}+\frac{-4\left(x^{4}+4x^{4}\ln\left(4x\right)\right)}{x}\right)x^{9}-9\left(x^4-4x^{4}\ln\left(4x\right)\right)x^{8}}{x^{18}}$