Solving: $\frac{d}{dx}\left(\frac{x^2-3}{2x+1}\right)$
Exercise
$\frac{dy}{dx}\left(\frac{x^2-3}{2x+1}\right)$
Step-by-step Solution
Learn how to solve polynomial factorization problems step by step online. Find the derivative d/dx((x^2-3)/(2x+1)). 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^2-3). The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a sum of two or more functions is the sum of the derivatives of each function.
Find the derivative d/dx((x^2-3)/(2x+1))
Final answer to the exercise
$\frac{2x\left(2x+1\right)+2\left(-x^2+3\right)}{\left(2x+1\right)^2}$