# How do you implicitly differentiate #-1=-y^2x-2xy-ye^(xy) #?

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To implicitly differentiate -1=-y^2x-2xy-ye^(xy) with respect to x, follow these steps:

- Differentiate each term with respect to x.
- Apply the chain rule where necessary.
- Solve for dy/dx.

The result is:

dy/dx = (2xy^2 + y^3 - 2y - y^2e^(xy)) / (x + 2y^2 + xe^(xy))

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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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