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Taking the derivative of hyperbolic cotangent
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$-\mathrm{csch}\left(\frac{1+x}{1-x}\right)^2\frac{d}{dx}\left(\frac{1+x}{1-x}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of coth((1+x)/(1-x)). Taking the derivative of hyperbolic cotangent. Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}. Simplify the product -(1+x). The derivative of a sum of two or more functions is the sum of the derivatives of each function.