# How do you implicitly differentiate #3y + y^4/x^2 = 2#?

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To implicitly differentiate ( 3y + \frac{y^4}{x^2} = 2 ), follow these steps:

- Differentiate each term with respect to (x).
- Apply the chain rule when differentiating terms involving (y).
- Solve for ( \frac{dy}{dx} ) after differentiating.

The result after differentiating is:

( 3\frac{dy}{dx} - 2\frac{y^4}{x^3} - \frac{4y^3}{x^2}y' = 0 )

Solve for ( \frac{dy}{dx} ) to get the implicit derivative.

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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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