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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
Learn how to solve product rule of differentiation problems step by step online.
$\frac{1}{2}\frac{d}{dx}\left(1-\cos\left(2x\right)\right)$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule d/dx((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. Divide 1 by 2. The derivative of a sum of two or more functions is the sum of the derivatives of each function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=-1 and g=\cos\left(2x\right).