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The derivative of a function multiplied by a constant ($\frac{1}{15}$) is equal to the constant times the derivative of the function
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$\frac{1}{15}\frac{d}{dx}\left(2x^5\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (2x^5)/15. The derivative of a function multiplied by a constant (\frac{1}{15}) is equal to the constant times the derivative of the function. Divide 1 by 15. 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}.