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$\frac{d}{dx}\left(-\frac{1}{2}\arctan\left(\frac{x}{2}\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of -1/2arctan(x/2). Simplifying. The derivative of a function multiplied by a constant (-\frac{1}{2}) is equal to the constant times the derivative of the function. Taking the derivative of arctangent. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}.