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Simplify the derivative by applying the properties of logarithms
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$\frac{d}{dx}\left(\frac{2}{\sqrt{x}}\right)$
Learn how to solve equations problems step by step online. Find the derivative d/dx(6/(3x^1/2)). 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}}. Cancel exponents \frac{1}{2} and 2. The derivative of the constant function (2) is equal to zero.