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$\frac{d}{dx}\left(\log_{5}\left(25\right)x^8\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of log5(5^2)x^8. Simplifying. 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}. Subtract the values 8 and -1.