# What is the first differential of #f(x) = 4sin(5x-1)# ?

Apply standard differential and chain rule

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The first differential of ( f(x) = 4\sin(5x - 1) ) is ( f'(x) = 20\cos(5x - 1) ).

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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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