# How do you differentiate #y=sin^-1(x/3)#?

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To differentiate ( y = \sin^{-1}(x/3) ), you use the chain rule of differentiation. The derivative is ( dy/dx = (1/\sqrt{1 - (x/3)^2}) \cdot (1/3) ).

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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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