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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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$\frac{2}{3}\frac{d}{dx}\left(\arccos\left(\sqrt{x^3+3x}\right)\right)$
Learn how to solve integral calculus problems step by step online. Find the derivative of d/dx(2/3arccos((x^3+3x)^1/2)). The derivative of a function multiplied by a constant 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).