# How do you differentiate #y=a^3+cos^3x#?

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To differentiate ( y = a^3 + \cos^3(x) ), you can use the chain rule and the derivative of cosine. The derivative with respect to ( x ) is:

[ \frac{dy}{dx} = -3 \cos^2(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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