# What is the second derivative of #f(x)=(x^2-x^3)^(1/3)#?

so, the first derivative is,

so the second derivative is,

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The second derivative of ( f(x) = (x^2 - x^3)^{\frac{1}{3}} ) is given by ( f''(x) = \frac{2(1 - 2x)}{9(x^2 - x^3)^{\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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