Find the Derivative - d/d@VAR f(x)=sin(x)^2

Problem

d(sin(x))/d(x)

Solution

1. Identify the function as a composition where the outer function is u2 and the inner function is u=sin(x)

2. Apply the power rule to the outer function, which gives 2*sin(x)

3. Apply the chain rule by multiplying by the derivative of the inner function, d(sin(x))/d(x)

4. Differentiate the inner function to get cos(x)

5. Combine the results to find the final derivative.

Final Answer

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

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