# What is the derivative of this function #sin^-1(x/4)#?

Differentiate Implicitly:

Substituting into [1]:

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The derivative of the function ( \sin^{-1}(x/4) ) is ( \frac{1}{\sqrt{16-x^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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