How do you find the first and second derivative of #ln(x^3)#?
First Derivative:
Second Derivative:
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To find the first and second derivatives of ( \ln(x^3) ):

First Derivative: [ \frac{d}{dx}\left(\ln(x^3)\right) = \frac{1}{x^3} \cdot \frac{d}{dx}(x^3) ]

Second Derivative: [ \frac{d^2}{dx^2}\left(\ln(x^3)\right) = \frac{d}{dx}\left(\frac{1}{x^3}\right) ]
Then, simplify the expressions as needed.
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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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