Impara online a risolvere i problemi di passo dopo passo. d/dx((5x+6y)^(5x+6y)). Applicare la formula: \frac{d}{dx}\left(a^b\right)=y=a^b, dove d/dx=\frac{d}{dx}, a=5x+6y, b=5x+6y, a^b=\left(5x+6y\right)^{\left(5x+6y\right)} e d/dx?a^b=\frac{d}{dx}\left(\left(5x+6y\right)^{\left(5x+6y\right)}\right). Applicare la formula: y=a^b\to \ln\left(y\right)=\ln\left(a^b\right), dove a=5x+6y e b=5x+6y. Applicare la formula: \ln\left(x^a\right)=a\ln\left(x\right), dove a=5x+6y e x=5x+6y. 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=\left(5x+6y\right)\ln\left(5x+6y\right).

d/dx((5x+6y)^(5x+6y))