# How do you differentiate #e^sqrt(xy)-xy=6#?

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To differentiate the equation (e^{\sqrt{xy}} - xy = 6) with respect to (x), you'll need to use implicit differentiation. The equation involves both (x) and (y), so you'll treat (y) as a function of (x).

First, differentiate both sides of the equation with respect to (x). Then, apply the chain rule and product rule as necessary to differentiate the terms involving (y). After that, solve for (dy/dx).

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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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