# What is the derivative of #y = arcsin(x^5)#?

So, we get:

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The derivative of ( y = \arcsin(x^5) ) is ( \frac{d}{dx}(\arcsin(x^5)) = \frac{1}{\sqrt{1 - (x^5)^2}} \cdot \frac{d}{dx}(x^5) ). Applying the chain rule, ( \frac{d}{dx}(x^5) = 5x^4 ). So, the derivative of ( y = \arcsin(x^5) ) is ( \frac{5x^4}{\sqrt{1 - x^{10}}} ).

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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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