# What is the derivative of #e^(2x^2)#?

To get this answer, we use the fact that the exponential function is its own derivative, together with the chain rule:

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The derivative of ( e^{2x^2} ) with respect to ( x ) is ( 4x \cdot e^{2x^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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