# How do you find the fourth derivative of #sin x#?

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To find the fourth derivative of sin(x), you repeatedly differentiate sin(x) with respect to x. The derivatives of sin(x) cycle through sine and cosine functions.

The first derivative of sin(x) is cos(x). The second derivative of sin(x) is -sin(x). The third derivative of sin(x) is -cos(x). The fourth derivative of sin(x) is sin(x).

So, the fourth derivative of sin(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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