Esercizio
$\frac{d}{dx}\left(\frac{e^{2x}sin^3x}{\sqrt{x-1}}\right)$
Soluzione passo-passo
Impara online a risolvere i problemi di equazioni logaritmiche passo dopo passo. Find the derivative d/dx((e^(2x)sin(x)^3)/((x-1)^(1/2))). Applicare la formula: \frac{d}{dx}\left(x\right)=y=x, dove d/dx=\frac{d}{dx}, d/dx?x=\frac{d}{dx}\left(\frac{e^{2x}\sin\left(x\right)^3}{\sqrt{x-1}}\right) e x=\frac{e^{2x}\sin\left(x\right)^3}{\sqrt{x-1}}. Applicare la formula: y=x\to \ln\left(y\right)=\ln\left(x\right), dove x=\frac{e^{2x}\sin\left(x\right)^3}{\sqrt{x-1}}. Applicare la formula: y=x\to y=x, dove x=\ln\left(\frac{e^{2x}\sin\left(x\right)^3}{\sqrt{x-1}}\right) e y=\ln\left(y\right). Applicare la formula: \ln\left(y\right)=x\to \frac{d}{dx}\left(\ln\left(y\right)\right)=\frac{d}{dx}\left(x\right), dove x=2x+3\ln\left(\sin\left(x\right)\right)- \left(\frac{1}{2}\right)\ln\left(x-1\right).
Find the derivative d/dx((e^(2x)sin(x)^3)/((x-1)^(1/2)))
Risposta finale al problema
$\left(2+3\csc\left(x\right)\cos\left(x\right)+\frac{-1}{2\left(x-1\right)}\right)\frac{e^{2x}\sin\left(x\right)^3}{\sqrt{x-1}}$