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

please show step by step.

Thx

1 Answer

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  • EM
    Lv 7
    8 years ago
    Favorite 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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