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$\frac{d}{dn}\left(\frac{9x^{-n}}{x^{-3n}}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (((3x^(n+1))^2)/(x^(2(n+1)))x^(-n))/(x^(-n)^3). Simplifying. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Apply the exponent property of product of powers: x^a\cdot x^b=x^{a+b}. Combining like terms -3n and n.