Final Answer
Step-by-step Solution
Problem to solve:
Specify the solving method
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 ${\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}$
Learn how to solve quotient rule of differentiation problems step by step online.
$\frac{3x\frac{d}{dx}\left(2\right)-2\frac{d}{dx}\left(3x\right)}{\left(3x\right)^2}$
Learn how to solve quotient rule of differentiation problems step by step online. Find the derivative (d/dx)(2/(3x)). 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 power of a product is equal to the product of it's factors raised to the same power. The derivative of the constant function (2) is equal to zero. The derivative of the linear function times a constant, is equal to the constant.