# How do you find the derivative of #y=cos^2theta#?

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To find the derivative of ( y = \cos^2(\theta) ):

Apply the chain rule. Differentiate the outer function ((\cos^2(\theta))), then multiply by the derivative of the inner function ((\theta)).

The derivative of (\cos^2(\theta)) with respect to (\theta) is ( -2\cos(\theta)\sin(\theta) ).

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To find the derivative of ( y = \cos^2(\theta) ), you can use the chain rule and the derivative of cosine function.

The derivative of ( \cos(\theta) ) with respect to ( \theta ) is ( -\sin(\theta) ).

Now, apply the chain rule:

( \frac{dy}{d\theta} = -2\cos(\theta)\sin(\theta) )

Therefore, the derivative of ( y = \cos^2(\theta) ) with respect to ( \theta ) is ( -2\cos(\theta)\sin(\theta) ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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