How do you find the derivative of #h(x) = (x^(1/3)) / (x^2+1)#?
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To find the derivative of ( h(x) = \frac{x^\frac{1}{3}}{x^2+1} ), use the quotient rule. The quotient rule states that if you have a function ( f(x) = \frac{g(x)}{h(x)} ), then the derivative is given by ( f'(x) = \frac{g'(x)h(x) - g(x)h'(x)}{(h(x))^2} ). Apply this rule to ( h(x) ), where ( g(x) = x^\frac{1}{3} ) and ( h(x) = x^2 + 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.
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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