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The derivative of a function multiplied by a constant ($\frac{2}{3}$) is equal to the constant times the derivative of the function
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$\frac{2}{3}\frac{d}{dx}\left(\arccos\left(\sqrt{x^3+3x}\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of 2/3arccos((x^3+3x)^1/2). The derivative of a function multiplied by a constant (\frac{2}{3}) is equal to the constant times the derivative of the function. Taking the derivative of arccosine. Cancel exponents \frac{1}{2} and 2. Simplify the product -(x^3+3x).