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The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function
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$3\frac{d}{dx}\left(\left(x^3+5x\right)^6\right)$
Learn how to solve problems step by step online. Find the derivative of y=3(x^3+5x)^6. 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}. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the linear function times a constant, is equal to the constant.