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# what is the derivative of (e^(x^2))^(1/2)+(e^((x^2)^(1/2)))?

please show step by step.

Thx

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- EMLv 78 years agoFavorite Answer
[e^(x^2)]^(1/2) + e^[(x^2)^(1/2)] =

e^(x^2 / 2) + e^|x| =

d/dx[e^(x^2 / 2) + e^|x|] =

xe^(x^2 / 2) + e^|x| (for x > 0)

xe^(x^2 / 2) - e^|x| (for x < 0)

Derivative is undefined at x = 0.

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