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

See the explanation.

Prior to studying the chain rule, you must apply the following trigonometric fact:

Consequently,

Applying the rule of chain

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To find the derivative of cos(-x), apply the chain rule. The derivative of cos(-x) is sin(-x) multiplied by the derivative of -x, which is -1. Thus, the derivative of cos(-x) is -sin(-x).

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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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