# How do you find the second derivative of #y=e^(-pix)#?

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To find the second derivative of ( y = e^{-\pi x} ), you need to take the derivative twice.

The first derivative is ( y' = -\pi e^{-\pi x} ).

Taking the derivative of ( y' ), we get the second derivative:

( y'' = (-\pi)(- \pi e^{-\pi x}) = \pi^2 e^{-\pi 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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