# How do you differentiate #sin(x^4)#?

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To differentiate sin(x^4), you would use the chain rule of differentiation. The chain rule states that if you have a function within another function, you differentiate the outer function first and then multiply by the derivative of the inner function.

So, to differentiate sin(x^4), first differentiate the outer function, sin(u), where u = x^4, which is cos(u). Then multiply by the derivative of the inner function, which is 4x^3.

Therefore, the derivative of sin(x^4) is cos(x^4) * 4x^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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