# How do you differentiate #y= ln(1-x^2)^(1/2)#?

Differentiate,

Simplify,

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To differentiate ( y = \ln\left((1 - x^2)^{\frac{1}{2}}\right) ), you can use the chain rule.

Let ( u = (1 - x^2)^{\frac{1}{2}} ). Then, differentiate ( u ) with respect to ( x ) to find ( \frac{du}{dx} ). Afterward, apply the chain rule to find ( \frac{dy}{dx} ).

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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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