How do you find the second derivative of #ln(x^3)#?
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To find the second derivative of ln(x^3), first find the first derivative and then differentiate it again.

Find the first derivative: d/dx [ln(x^3)] = (1/(x^3)) * d/dx [x^3]

Differentiate x^3 with respect to x: d/dx [x^3] = 3x^2

Substitute the derivative of x^3 into the expression for the first derivative: (1/(x^3)) * 3x^2 = 3/x

Now differentiate the first derivative again to find the second derivative: d/dx [3/x] = 3/x^2
Therefore, the second derivative of ln(x^3) is 3/x^2.
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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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