Evaluate
\frac{3x-y}{\ln(\frac{7x+1}{4x^{2}-x+1})y^{3x+2}}
Differentiate w.r.t. x
\frac{84yx^{3}\ln(\frac{7x+1}{4x^{2}-x+1})\ln(y)-252x^{4}\ln(\frac{7x+1}{4x^{2}-x+1})\ln(y)-9yx^{2}\ln(\frac{7x+1}{4x^{2}-x+1})\ln(y)+27x^{3}\ln(\frac{7x+1}{4x^{2}-x+1})\ln(y)+18xy\ln(\frac{7x+1}{4x^{2}-x+1})\ln(y)-54x^{2}\ln(\frac{7x+1}{4x^{2}-x+1})\ln(y)+84x^{3}\ln(\frac{7x+1}{4x^{2}-x+1})+3y\ln(\frac{7x+1}{4x^{2}-x+1})\ln(y)-9x\ln(\frac{7x+1}{4x^{2}-x+1})\ln(y)-9x^{2}\ln(\frac{7x+1}{4x^{2}-x+1})+18x\ln(\frac{7x+1}{4x^{2}-x+1})+3\ln(\frac{7x+1}{4x^{2}-x+1})-28yx^{2}+84x^{3}-8xy+24x^{2}+8y-24x}{\left(7x+1\right)\left(4x^{2}-x+1\right)\ln(\frac{7x+1}{4x^{2}-x+1})^{2}y^{3x+2}}
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