My attempt: I have computed $Rf'(1)=c$ and $Lf'(1)=2a.$ Now for $f'$ to be continuous ,we must have , $c=2a$ . But I am not sure how to find $b$?Also,where should I use the fact that $f$ is increasing in $(0,\infty)?$ Can someone point me in the right direction? please help.Thanks in advance for your time.
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