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How should I solve this problem?
- Find the derivative using the product rule
- Find the derivative using the definition
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
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Derive both sides of the equality with respect to $x$
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$\frac{d}{dx}\left(\ln\left(\frac{2x+1}{x-1}\right)\right)=\frac{d}{dx}\left(y\right)$
Learn how to solve problems step by step online. Find the derivative using the product rule ln((2x+1)/(x-1))=y. Derive both sides of the equality with respect to x. 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}. Divide fractions \frac{1}{\frac{2x+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}.