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The derivative of a function multiplied by a constant ($\frac{1}{2}$) is equal to the constant times the derivative of the function
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$\frac{1}{2}\frac{d}{dx}\left(1-\cos\left(2x\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (1-cos(2x))/2. The derivative of a function multiplied by a constant (\frac{1}{2}) is equal to the constant times the derivative of the function. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the constant function (1) is equal to zero. The derivative of a function multiplied by a constant (-1) is equal to the constant times the derivative of the function.