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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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$\frac{d}{dx}\left(\frac{\sqrt{v}}{\sqrt{p}}\left(1+\frac{-abc}{x^2}\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (v/p)^1/2(1+(-abc)/(x^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 is equal to the constant times the derivative of the function. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the constant function (1) is equal to zero.