# How do you find the derivative of #T=4cot^3(4z)#?

that simplification is going nowhere so we can stick with the previous answer

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To find the derivative of ( T = 4\cot^3(4z) ), apply the chain rule. The derivative is ( \frac{d}{dz}(4\cot^3(4z)) = -48\cot^3(4z)\csc^2(4z) ).

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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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