# How do you differentiate #Y = (cos x)^2 - cos x#?

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To differentiate (Y = (\cos(x))^2 - \cos(x)), you apply the chain rule and the power rule. The derivative is (Y' = 2\cos(x)(-\sin(x)) - (-\sin(x))). Simplifying gives (Y' = -2\sin(x)\cos(x) + \sin(x)).

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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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