Find the Derivative - d/dx cos(2x)

Problem

d(cos(2*x))/d(x)

Solution

1. Identify the outer function and the inner function to apply the Chain Rule. The outer function is cos(u) and the inner function is u=2*x

2. Differentiate the outer function with respect to the inner function. The derivative of cos(u) is −sin(u)

3. Differentiate the inner function with respect to x The derivative of 2*x is 2

4. Multiply the derivative of the outer function by the derivative of the inner function according to the Chain Rule formula.

5. Simplify the resulting expression by rearranging the constants.

Final Answer

d(cos(2*x))/d(x)=−2*sin(2*x)

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