# How do you differentiate #sin(xy)=1/2#?

Here are two ways to do it.

The easy (trick) way

The non-easy way

to get

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To differentiate sin(xy) = 1/2 with respect to x, you would use the chain rule. The derivative would be:

∂/∂x(sin(xy)) = cos(xy) * y.

Similarly, if you want to differentiate with respect to y, it would be:

∂/∂y(sin(xy)) = cos(xy) * x.

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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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