Given: f(x)= (x^2 + 5x +5)/ (x+2) x<>-2 Question: Find f'(x)

Given: f(x)= (x^{2} + 5x +5)/ (x+2) x<>-2 Question: Find

f '(x)=[ (x+2)(2x+5) –(x^{2}+5x+5) (1)] /(x+2)^{2}

f '(x)=[ (2x^{2}+9x+10 –(x^{2}+5x+5) (1)] /(x+2)^{2}

f '(x)=[ (x^{2}+4x+5] /(x+2)^{2}

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