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f'(x)=\[3-\frac{ 7 }{ 2 }x ^{-\frac{ 7 }{ 8 }}\]

not quite the power of the derivative is (n - 1) in your question its (7/8 - 1)

-1/8

f''(x)= \[\frac{ 7 }{ 16 }x ^{-\frac{ 9 }{ 8 }}\]

looks ok... well done