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The power of a product is equal to the product of it's factors raised to the same power
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$\frac{d}{dn}\left(\frac{27m^9+8n^6}{3m^3+2n^2}-25m^2+18n^4\right)$
Learn how to solve problems step by step online. Find the derivative of (27m^9+8n^6)/(3m^3+2n^2)-(5m)^218n^4. The power of a product is equal to the product of it's factors raised to the same power. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.