Solving: $\frac{d}{dx}\left(\frac{2}{3x^3}\right)$
Exercise
$\frac{dy}{dx}\left(\frac{2}{3x^3}\right)$
Step-by-step Solution
Learn how to solve limits by direct substitution problems step by step online. Find the derivative d/dx(2/(3x^3)). 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. x+0=x, where x is any expression.
Find the derivative d/dx(2/(3x^3))
Final answer to the exercise
$\frac{-2}{x^{4}}$