# How do I find the derivative of #ln*root3((x-1)/(x+1))#?

#d/dx ln root(3)((x-1)/(x+1))= 2/(3x^2-3) #

Differentiating (using the chain rule) gives:

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To find the derivative of ( \ln\left(\sqrt[3]{\frac{x-1}{x+1}}\right) ), we can use the chain rule and the power rule. The derivative is ( \frac{1}{3\sqrt[3]{\left(\frac{x-1}{x+1}\right)^2}(x+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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