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Simplify the derivative by applying the properties of logarithms
Learn how to solve quotient rule of differentiation problems step by step online.
$\frac{d}{dx}\left(x^{-\frac{1}{2}}\right)$
Learn how to solve quotient rule of differentiation problems step by step online. Find the derivative d/dx((x^1/2)/x). Simplify the derivative by applying the properties of logarithms. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Subtract the values -\frac{1}{2} and -1. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number.