Final Answer
Step-by-step Solution
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Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable
Learn how to solve product rule of differentiation problems step by step online.
$\frac{d}{dx}\left(4x-3y\right)=\frac{d}{dx}\left(\frac{y+1}{x-1}\right)$
Learn how to solve product rule of differentiation problems step by step online. Find the implicit derivative d/dx(4x-3y=(y+1)/(x-1)). Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. 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 -(y+1). The derivative of a sum of two or more functions is the sum of the derivatives of each function.