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$\frac{d}{dx}\left(\frac{2\left(3x^2+4x+2\right)x^2}{2x+7}\right)$
Learn how to solve problems step by step online. Find the derivative of 2(3x^2+4x+2)/(2x+7)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}}. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=.