# What is 2xy differentiated implicitly?

The question does not specify with respect to what so I'll assume y is a function of x.

Use the product rule:

So:

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The answer is

The function is

The partial derivatives are

Therefore,

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The implicit differentiation of 2xy is 2y + 2x(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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