Stuff and the Herald have the identical AP story, so you can read either one
Chimpanzees in a midlife crisis? It sounds like a setup for a joke. But there it is, in the title of a report published in a scientific journal: ‘Evidence for a midlife crisis in great apes.
The researchers asked handlers to estimate ‘well-being’ for 508 great apes: 172 orang-utans, the rest, chimpanzees. They fitted a statistical model to look for a decrease in mid-life followed by an increase, and got dramatic graphs

The x-axis is in years, showing the trough of despondency in the mid-thirties. The y-axis isn’t in anything — the curves were rescaled to look similar and the numbers are arbitrary.
The reason the curves look so dramatic is partly the higher-than-wide shape of the graph, but mostly the lack of any indication of uncertainty. The data are actually consistent with a wide range of flatter or steeper U-shapes and with the `mid-life’ crisis happening anywhere over quite a range of years. I can’t be more precise than that, because the researchers don’t even provide the necessary information to compute the uncertainty in the curve [they give uncertainties in regression coefficients, but not correlations between them].
However, they do have an appendix that looks at chopping up age into five-year bands and estimating the midlife crisis that way. They don’t give a graph, but they do give enough information to draw one. It’s not as impressive.

The U-shaped pattern does seem to probably be real (though the extent to which the so-called mid-life crisis is really the apes’ problem rather than than the handlers’ problem isn’t clear), but the graphs in the research paper are overselling it. Badly.
[Update: the intervals in the plot are +/- 1.4 standard errors for the coefficient. This should be in the ballpark for a 95% interval for the mean for that age group]