# How do you use implicit differentiation to find the slope of the curve given #xy^5+x^5y=1# at (-1,-1)?

Since *no solution* as it stands. However the slope of

or

or

so that the slope is -1.

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To find the slope of the curve at the point (-1, -1) using implicit differentiation, follow these steps:

- Differentiate both sides of the equation with respect to x.
- Treat y as a function of x and apply the chain rule when differentiating terms involving y.
- After differentiation, solve for dy/dx, the derivative of y with respect to x.
- Substitute the point (-1, -1) into the expression for dy/dx to find the slope at that point.

The expression for dy/dx will give you the slope of the curve at the given point (-1, -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.

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