Esercizio
$\frac{d}{dx}\left(\arcsin\left(\left(x-3\right)^2\right)\right)$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. d/dx(arcsin((x-3)^2)). Applicare la formula: \frac{d}{dx}\left(\arcsin\left(\theta \right)\right)=\frac{1}{\sqrt{1-\theta ^2}}\frac{d}{dx}\left(\theta \right), dove x=\left(x-3\right)^2. Simplify \left(\left(x-3\right)^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: \frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}\frac{d}{dx}\left(x\right), dove a=2 e x=x-3. Applicare la formula: x^1=x.
Risposta finale al problema
$\frac{2\left(x-3\right)}{\sqrt{1-\left(x-3\right)^{4}}}$