Learn how to solve polynomiale lange division problems step by step online. d/dx(((x^2(3-x))/((2x+3)^3))^(1/3)). Wenden Sie die Formel an: \frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}\frac{d}{dx}\left(x\right), wobei a=\frac{1}{3} und x=\frac{x^2\left(3-x\right)}{\left(2x+3\right)^3}. Wenden Sie die Formel an: \left(\frac{a}{b}\right)^n=\left(\frac{b}{a}\right)^{\left|n\right|}, wobei a=x^2\left(3-x\right), b=\left(2x+3\right)^3 und n=-\frac{2}{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^2\left(3-x\right) und b=\left(2x+3\right)^3. Simplify \left(\left(2x+3\right)^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.

d/dx(((x^2(3-x))/((2x+3)^3))^(1/3))