Take the 2nd derivative of 2e^(2x) with respect to x.

The second derivative is just two derivatives carried out back to back. In this case we just have to differentiate this function once, and then differentiate the result. The derivative of 2e^(2x) can then be found by using the product rule to be 4e^(2x). We can then take the derivative of the result again using the product rule to arrive at the result, 8e^(2x).

Answered by Patrick A. Maths tutor

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