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$\frac{d}{dx}\left(x\ln\left(\ln\left(e+\frac{2}{x}\right)\right)\right)$
Learn how to solve problems step by step online. Find the derivative using the quotient rule d/dx(ln(ln(e+2/x))/(1/x)). Simplifying. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=. The derivative of the linear function is equal to 1. The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If f(x)=ln\:a (where a is a function of x), then \displaystyle f'(x)=\frac{a'}{a}.