Impara online a risolvere i problemi di passo dopo passo. Find the derivative d/dx((xsin(x))/((x+1)^1/2)). 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\sin\left(x\right) e b=\left(x+1\right)^{0.5}. Simplify \left(\left(x+1\right)^{0.5}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 0.5 and n equals 2. Applicare la formula: x^1=x. 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\sin\left(x\right), a=x, b=\sin\left(x\right) e d/dx?ab=\frac{d}{dx}\left(x\sin\left(x\right)\right).

Find the derivative d/dx((xsin(x))/((x+1)^1/2))