# How do you differentiate #x^(2/3)+y^(2/3)=pi^(2/3)#?

Differential is

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To differentiate the equation (x^{2/3} + y^{2/3} = \pi^{2/3}) with respect to (x), you can follow these steps:

- Rewrite the equation as (y = (\pi^{2/3} - x^{2/3})^{3/2}).
- Differentiate (y) with respect to (x) using the chain rule and power rule.
- The result is (\frac{dy}{dx} = -\frac{1}{\sqrt{2}}\left(\pi^{2/3} - x^{2/3}\right)^{1/2} \cdot \frac{2}{3}x^{-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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