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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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$4\frac{d}{dx}\left(\arctan\left(\sqrt{x}\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of 4arctan(x^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 arctangent. Cancel exponents \frac{1}{2} and 2. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.