Final Answer
$\sin\left(2x\right)$
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Step-by-step Solution
Problem to solve:
$\frac{d}{dx}\left(\frac{1-\cos\left(2x\right)}{2}\right)$
Specify the solving method
1
The derivative of a function multiplied by a constant ($\frac{1}{2}$) is equal to the constant times the derivative of the function
$\frac{1}{2}\frac{d}{dx}\left(1-\cos\left(2x\right)\right)$
Learn how to solve differential calculus problems step by step online.
$\frac{1}{2}\frac{d}{dx}\left(1-\cos\left(2x\right)\right)$
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. Divide 1 by 2. 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.
Final Answer
$\sin\left(2x\right)$