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Simplify the derivative by applying the properties of logarithms
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$\frac{d}{dx}\left(\frac{abc\sqrt{\frac{v}{p}}}{x^2}\right)$
Learn how to solve problems step by step online. Find the derivative of (v/p)^1/2(abc)/(x^2). Simplify the derivative by applying the properties of logarithms. 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}. Multiplying the fraction by abc. Divide fractions \frac{\frac{\sqrt{v}abc}{\sqrt{p}}}{x^2} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}.