# How do you find the derivative of #cos^5 ( x) #?

The derivative of a function to a power is equal to the power times the function raised to one less than the given power, multiplied by the derivative of the function, according to the power rule, which we apply to obtain:

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To find the derivative of ( \cos^5(x) ), you can use the chain rule and the power rule.

The derivative is ( \frac{d}{dx}(\cos^5(x)) = 5\cos^4(x) \cdot (-\sin(x)) = -5\cos^4(x) \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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