Consider the function f(x)=\displaystyle {f{{\left({x}\right)}}}=5x+2x+1\displaystyle \frac{{-{5}{x}+{2}}}{{{x}+{1}}}. Compute each of the following. Simplify your answer and use exact values.

f(x)=\displaystyle {f}'{\left({x}\right)}=    

f(x)=\displaystyle {f}{''}{\left({x}\right)}=    

f(x)=\displaystyle {f}{'''}{\left({x}\right)}=