For x > 0, define
Calculate
and
y''(x) :=
You'll need the Leibniz Rule, the product rule, and the chain rule to differentiate your y(x). What do you get?
Just in case a picture helps...
... where (key in spoiler) ...
Spoiler:
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Don't integrate - balloontegrate!
Balloon Calculus; standard integrals, derivatives and methods
Balloon Calculus Drawing with LaTeX and Asymptote!