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$\frac{d}{dx}\left(\frac{1}{4}\ln\left(\frac{x-1}{x+1}\right)\right)$
Learn how to solve problems step by step online. Find the derivative of d/dx(1/4ln((2x-2)/(2x+2))). Simplifying. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. 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}. Divide fractions \frac{1}{\frac{x-1}{x+1}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}.