# How do you find #(dy)/(dx)# given #x^(2/3)+y^(2/3)=pi^(2/3)#?

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To find (dy)/(dx), differentiate the equation implicitly with respect to x and then solve for (dy)/(dx):

(2/3)x^(-1/3) + (2/3)y^(-1/3)(dy)/(dx) = 0

Solve for (dy)/(dx):

(dy)/(dx) = -x^(1/3)/y^(1/3)

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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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