Learn how to solve problems step by step online. Find the derivative d/dx((x^3+x^(1/2))/(x^3)). Wenden Sie die Formel an: \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}, wobei a=x^3+\sqrt{x} und b=x^3. Simplify \left(x^3\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals 2. Wenden Sie die Formel an: -\left(a+b\right)=-a-b, wobei a=x^3, b=\sqrt{x}, -1.0=-1 und a+b=x^3+\sqrt{x}. Wenden Sie die Formel an: \frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}.

Find the derivative d/dx((x^3+x^(1/2))/(x^3))