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The power of a quotient is equal to the quotient of the power of the numerator and denominator: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$
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$\frac{d}{dx}\left(\frac{\sqrt{x}}{\sqrt{6}}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (2x-88)^1/2=(x/6)^1/2. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. The derivative of a function multiplied by a constant (\frac{1}{\sqrt{6}}) is equal to the constant times the derivative of the function. Divide 1 by \sqrt{6}. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.