# What is the derivative of #f(x) = arcsin(2x^3 - 1)#?

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We use the chain rule, which states that,

Combining together, we get,

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The derivative of ( f(x) = \arcsin(2x^3 - 1) ) is ( f'(x) = \frac{6x^2}{\sqrt{1 - (2x^3 - 1)^2}} ).

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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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