# How do you find the first and second derivative of #y=e^(-x^2)#?

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Product rule:

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To find the first derivative, use the chain rule: dy/dx = -2x * e^(-x^2).

To find the second derivative, differentiate again using the product rule: d^2y/dx^2 = (4x^2 - 2) * e^(-x^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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