# How do you find the derivative of #y = tan3x – cot3x #?

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To find the derivative of ( y = \tan^3(x) - \cot^3(x) ), you would use the rules of differentiation.

The derivative of ( \tan^3(x) ) is ( 3\tan^2(x) \sec^2(x) ), and the derivative of ( \cot^3(x) ) is ( -3\cot^2(x) \csc^2(x) ).

Therefore, the derivative of ( y = \tan^3(x) - \cot^3(x) ) is ( y' = 3\tan^2(x) \sec^2(x) - 3\cot^2(x) \csc^2(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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