# How do you find the derivative of #y=-1/2ln(x+5/3)#?

The derivative of ln (f(x)) is.

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To find the derivative of ( y = -\frac{1}{2} \ln(x + \frac{5}{3}) ), you can use the chain rule. The derivative is:

[ \frac{dy}{dx} = -\frac{1}{2} \cdot \frac{1}{x + \frac{5}{3}} \cdot \frac{d}{dx}(x + \frac{5}{3}) ]

[ = -\frac{1}{2} \cdot \frac{1}{x + \frac{5}{3}} \cdot 1 ]

[ = -\frac{1}{2(x + \frac{5}{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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