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

Problem

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

Solution

1. Identify the outer function and the inner function to apply the Chain Rule.

2. Apply the Chain Rule by differentiating the outer function, cos(u) which results in −sin(u)

3. Differentiate the inner function, 2*x with respect to x which results in 2

4. Multiply the derivative of the outer function by the derivative of the inner function.

5. Simplify the resulting expression.

Final Answer

d(cos(2*x))/d(x)=−2*sin(2*x)

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