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Learn how to solve product rule of differentiation problems step by step online.
$\frac{d}{dx}\left(\frac{1}{x^{6}}\right)$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule d/dx(((((2+x^22x^2x^2)^1/2)/(x^2))/((2+x^22x^2x^2)^1/2))/(x^2x^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}}. Simplify \left(x^{6}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 6 and n equals 2. The derivative of the constant function (1) is equal to zero.