Esercizio
$\frac{d^3}{dx^3}\left(5\cos x+\frac{4}{x+6}-3x\right)$
Soluzione passo-passo
Passi intermedi
1
Trovare la derivata ($1$)
$-5\sin\left(x\right)+\frac{-4}{\left(x+6\right)^2}-3$
Passi intermedi
2
Trovare la derivata ($2$)
$-5\cos\left(x\right)+\frac{8\left(x+6\right)}{\left(x+6\right)^{4}}$
Passi intermedi
$-5\cos\left(x\right)+\frac{8}{\left(x+6\right)^{3}}$
Passi intermedi
4
Trovare la derivata ($3$)
$5\sin\left(x\right)+\frac{-24\left(x+6\right)^{2}}{\left(x+6\right)^{6}}$
Passi intermedi
$5\sin\left(x\right)+\frac{-24}{\left(x+6\right)^{4}}$
Risposta finale al problema
$5\sin\left(x\right)+\frac{-24}{\left(x+6\right)^{4}}$