# How do you find the derivative of #y=cos(x-1)# ?

With our answers in hand, we apply the chain rule formula.

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To find the derivative of ( y = \cos(x-1) ), you can apply the chain rule. The derivative is given by:

[ \frac{dy}{dx} = -\sin(x-1) ]

This is because the derivative of cosine is negative sine, and according to the chain rule, you multiply by the derivative of the inner function, which is ( 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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