# How do you differentiate #f (x) = 3 arcsin (x^4)#?

By chain rule

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To differentiate the function ( f(x) = 3\arcsin(x^4) ), you would use the chain rule. The derivative is ( f'(x) = 3 \cdot \frac{1}{\sqrt{1 - (x^4)^2}} \cdot 4x^3 ). Simplifying further, ( f'(x) = \frac{12x^3}{\sqrt{1 - x^8}} ).

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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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