Limits and Derivatives

Limits and Derivatives

Question

Find the derivatives of the following :



space space space space space space space space space space fraction numerator 3 straight x plus 2 over denominator left parenthesis straight x plus 5 right parenthesis left parenthesis 2 straight x plus 1 right parenthesis plus 3 end fraction

Answer
space space space space space space space space space space space space space space minus space fraction numerator 2 left parenthesis 3 straight x squared plus 4 straight x minus 1 right parenthesis over denominator left parenthesis 2 straight x squared plus 11 straight x plus 8 right parenthesis squared end fraction

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