Exercise
$\frac{d}{dx}\frac{14}{-6x}$
Step-by-step Solution
Learn how to solve quotient rule of differentiation problems step by step online. Find the derivative d/dx(14/(-6x)). Simplify the derivative by applying the properties of logarithms. 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 the constant function (7) is equal to zero. x+0=x, where x is any expression.
Find the derivative d/dx(14/(-6x))
Final answer to the exercise
$\frac{21}{\left(-3x\right)^2}$