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- Find the derivative using the definition
- Find the derivative using the product rule
- 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
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Taking the derivative of arctangent
Learn how to solve sum rule of differentiation problems step by step online.
$\frac{1}{1+\left(\frac{1}{x-1}\right)^2}\frac{d}{dx}\left(\frac{1}{x-1}\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative of arctan(1/(x-1)). Taking the derivative of arctangent. 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}}. Multiplying fractions \frac{1}{1+\left(\frac{1}{x-1}\right)^2} \times \frac{\frac{d}{dx}\left(1\right)\left(x-1\right)-\frac{d}{dx}\left(x-1\right)}{\left(x-1\right)^2}. The derivative of the constant function (1) is equal to zero.
