How do you differentiate $y=e^(sqrt(x^2+2))$ ?

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Answer 1 · 2018-06-01T07:42:55

$color(blue)(y’ = (x*e^sqrt(x^2+2)) / sqrt(x^2+2)$

$y = e^sqrt(x^2 + 2)$

y’ = (d/(dx)) e^sqrt(x^2 + 2)#

$y’ = e^sqrt(x^2 + 2) * (1/(2*sqrt(x^2+2))) * 2x$

$color(blue)(y’ = (x*e^sqrt(x^2+2)) / sqrt(x^2+2)$

How do you differentiate y=e^(sqrt(x^2+2))y=e^(sqrt(x^2+2))?