# What is the derivative of #f(x)=(1/x+lnx)^2#?

We'll need chain rule, here.

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To find the derivative of ( f(x) = \left(\frac{1}{x} + \ln(x)\right)^2 ), you would use the chain rule and power rule.

The derivative is:

[ f'(x) = 2\left(\frac{1}{x} + \ln(x)\right)\left(-\frac{1}{x^2} + \frac{1}{x}\right) ]

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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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