# How do you differentiate #f(x) = cos (3x -3)# using the chain rule?

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To differentiate ( f(x) = \cos(3x - 3) ) using the chain rule, follow these steps:

- Identify the inner function and the outer function. In this case, the inner function is ( 3x - 3 ) and the outer function is ( \cos(x) ).
- Find the derivative of the outer function with respect to its input. The derivative of ( \cos(x) ) is ( -\sin(x) ).
- Multiply the derivative of the outer function by the derivative of the inner function with respect to ( x ), which is ( 3 ).
- Substitute the inner function back into the result.

So, the derivative of ( f(x) = \cos(3x - 3) ) is ( -3\sin(3x - 3) ).

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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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