Question 555646
Determine the derivative of :

y = (2x + 3) / (3x + 4)
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y = {{{(2x + 3)*(3x + 4)^-1}}}
y' = {{{2(3x+4)^-1 + (2x+3)*(-1)*(3x+4)^(-2)*3}}}
y' = {{{2(3x+4)^-1 - 3(2x+3)*(3x+4)^(-2)}}}
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It can be rearranged in several forms.
y' = {{{(2(3x+4) - 3(2x+3))/(3x+4)^2}}}
y' = {{{-1/(3x+4)^2}}}