Risolvere: $\frac{d}{dx}\left(\frac{x-9}{x\cos\left(x\right)}\right)$
Esercizio
$\frac{dy}{dx}\left(\frac{\left(x-9\right)}{xcosx}\right)$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. Find the derivative d/dx((x-9)/(xcos(x))). Applicare la formula: \frac{d}{dx}\left(\frac{a}{b}\right)=\frac{\frac{d}{dx}\left(a\right)b-a\frac{d}{dx}\left(b\right)}{b^2}, dove a=x-9 e b=x\cos\left(x\right). Applicare la formula: \left(ab\right)^n=a^nb^n. Applicare la formula: -\left(a+b\right)=-a-b, dove a=x, b=-9, -1.0=-1 e a+b=x-9. Applicare la formula: \frac{d}{dx}\left(ab\right)=\frac{d}{dx}\left(a\right)b+a\frac{d}{dx}\left(b\right), dove d/dx=\frac{d}{dx}, ab=x\cos\left(x\right), a=x, b=\cos\left(x\right) e d/dx?ab=\frac{d}{dx}\left(x\cos\left(x\right)\right).
Find the derivative d/dx((x-9)/(xcos(x)))
Risposta finale al problema
$\frac{x^2\sin\left(x\right)+9\cos\left(x\right)-9x\sin\left(x\right)}{x^2\cos\left(x\right)^2}$