Final Answer
Step-by-step Solution
Specify the solving method
Simplifying
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(\frac{x^4-\frac{4}{3}x^3-2x^2-\frac{4}{3}x+1}{x-2}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (x^4+-4/3x^3-2x^2-4/3x+1)/(x-2). Simplifying. 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 -(x^4-\frac{4}{3}x^3-2x^2-\frac{4}{3}x+1). Simplify the product -(-\frac{4}{3}x^3-2x^2-\frac{4}{3}x+1).