Final answer to the problem
$\frac{-6}{x^{3}}$
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Step-by-step Solution
Learn how to solve quotient rule of differentiation problems step by step online. Find the derivative d/dx(3/(x^2)). 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 \left(x^2\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 2. The derivative of the constant function (3) is equal to zero. x+0=x, where x is any expression.
Final answer to the problem
$\frac{-6}{x^{3}}$
