Find the Derivative f(x)=2cos(x)+sin(x)^2

Math
By the Sum Rule, the derivative of with respect to is .
Evaluate .
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Since is constant with respect to , the derivative of with respect to is .
The derivative of with respect to is .
Multiply by .
Evaluate .
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Differentiate using the chain rule, which states that is where and .
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To apply the Chain Rule, set as .
Differentiate using the Power Rule which states that is where .
Replace all occurrences of with .
The derivative of with respect to is .
Reorder terms.
Find the Derivative f(x)=2cos(x)+sin(x)^2

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