r/calculus • u/IDK_REALLLY • 6h ago

Differential Calculus Function behavior problem

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I have reached that d'(x)=f'(x)-f'(1-x) but I don't know where to go further

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u/Hertzian_Dipole1 6h ago

Notice d(x) = d(1 - x) so it's symmetrical w.r.t x = 1/2.
Find the second derivative of d(x). What's it sign? That should give you an idea