Impara online a risolvere i problemi di passo dopo passo. Find the derivative d/dx((3x^4+7)/(x^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=3x^4+7 e b=x^2. Simplify \left(x^2\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 2. Applicare la formula: -\left(a+b\right)=-a-b, dove a=3x^4, b=7, -1.0=-1 e a+b=3x^4+7. Applicare la formula: \frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}.

Find the derivative d/dx((3x^4+7)/(x^2))