# How do you find the derivative of #(pi)(cos t - 1/t^2)#?

To write the function in a more readable format, multiply it out first and then apply the laws of exponents as follows:

Now, determine the derivative using the standard differentiation rules:

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To find the derivative of ( \pi(\cos(t) - \frac{1}{t^2}) ), you can use the product rule and the derivative of cosine:

[ \frac{d}{dt}(\pi(\cos(t) - \frac{1}{t^2})) = \pi \left( -\sin(t) + \frac{2}{t^3} \right) ]

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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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