# How do you differentiate #f(x)=csc(5x^5)#?

Use the chain rule and derivative of cosecant.

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To differentiate ( f(x) = \csc(5x^5) ), you can use the chain rule. The derivative is ( f'(x) = -5 \cdot 5x^4 \cdot \csc(5x^5) \cdot \cot(5x^5) ).

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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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