Esercizio
$\frac{d^3}{dx^3}\left(\frac{-3x^2-4\sqrt{x}-x^{-4}}{x}\right)$
Soluzione passo-passo
Passi intermedi
1
Trovare la derivata ($1$)
$\frac{-3x^2+2\sqrt{x}+5x^{-4}}{x^2}$
Passi intermedi
$\frac{-3x^{6}+2\sqrt{x^{9}}+5}{x^{6}}$
Passi intermedi
3
Trovare la derivata ($2$)
$\frac{-18x^{11}+9x^{\left(\frac{7}{2}+6\right)}-6\left(-3x^{6}+2\sqrt{x^{9}}+5\right)x^{5}}{x^{12}}$
Passi intermedi
$\frac{-18x^{11}+9\sqrt{x^{19}}-6\left(-3x^{6}+2\sqrt{x^{9}}+5\right)x^{5}}{x^{12}}$
Passi intermedi
5
Trovare la derivata ($3$)
$\frac{\left(-198x^{10}+\frac{171}{2}\sqrt{x^{17}}-6\left(\left(-18x^{5}+9\sqrt{x^{7}}\right)x^{5}+5\left(-3x^{6}+2\sqrt{x^{9}}+5\right)x^{4}\right)\right)x^{12}-12\left(-18x^{11}+9\sqrt{x^{19}}-6\left(-3x^{6}+2\sqrt{x^{9}}+5\right)x^{5}\right)x^{11}}{x^{24}}$
Risposta finale al problema
$\frac{\left(-198x^{10}+\frac{171}{2}\sqrt{x^{17}}-6\left(\left(-18x^{5}+9\sqrt{x^{7}}\right)x^{5}+5\left(-3x^{6}+2\sqrt{x^{9}}+5\right)x^{4}\right)\right)x^{12}-12\left(-18x^{11}+9\sqrt{x^{19}}-6\left(-3x^{6}+2\sqrt{x^{9}}+5\right)x^{5}\right)x^{11}}{x^{24}}$