Final answer to the problem
$\left(\frac{8}{x}+\frac{4}{x-3}+\frac{-16x}{x^2+8}\right)\frac{x^8\left(x-3\right)^4}{\left(x^2+8\right)^8}$
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Step-by-step Solution
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx((x^8(x-3)^4)/((x^2+8)^8)). To derive the function \frac{x^8\left(x-3\right)^4}{\left(x^2+8\right)^8}, use the method of logarithmic differentiation. First, assign the function to y, then take the natural logarithm of both sides of the equation. Apply natural logarithm to both sides of the equality. Apply logarithm properties to both sides of the equality. Derive both sides of the equality with respect to x.
Final answer to the problem
$\left(\frac{8}{x}+\frac{4}{x-3}+\frac{-16x}{x^2+8}\right)\frac{x^8\left(x-3\right)^4}{\left(x^2+8\right)^8}$
