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$\frac{d}{dx}\left(\left(\frac{y^{125}}{x^{153}}\right)^2\left(xy^{20}\right)^{-131}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of ((x^(-151)y^4)/(x^2y^(-121)))^2((x^4y^(-151))/(x^3y^(-171)))^(-131). Simplifying. 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 \left(xy^{20}\right)^{-131}. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number.