# How do you find the derivative of #ln((x^2)(e^x))#?

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To find the derivative of ln((x^2)(e^x)), you can use the product rule and the chain rule. First, rewrite the expression as ln(x^2) + ln(e^x). Then apply the derivative rules:

d/dx [ln(x^2) + ln(e^x)] = d/dx [ln(x^2)] + d/dx [ln(e^x)] = (1/x^2)(2x) + (1/e^x)(e^x) = 2/x + 1.

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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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