# How do you find the derivative of #arctan(x^2y)#?

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To find the derivative of arctan(x^2y) with respect to x, you would use the chain rule and implicit differentiation. The derivative would be (1/(1 + (x^2y)^2)) * (2xy + 2x^3y^2).

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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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