How do you find the fourth derivative of #e^(2x)#?
You can use the chain rule to find the first derivative of
In general it is easy to see that:
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To find the fourth derivative of ( e^{2x} ), you apply the chain rule repeatedly. The derivative of ( e^{2x} ) with respect to ( x ) is ( 2e^{2x} ). The second derivative is ( 4e^{2x} ), the third derivative is ( 8e^{2x} ), and the fourth derivative is ( 16e^{2x} ). Therefore, the fourth derivative of ( e^{2x} ) is ( 16e^{2x} ).
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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.
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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