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Prove that `(2^(log2^(1//4)x)-3^(log_(27)(x^(2)+1)^(3))-2x)/(7^(4log_(49)x)-x-1)gt0,AAx in(0,oo)`.

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Prove that `(2^(log2^(1//4)x)-3^(log_(27)(x^(2)+1)^(3))-2x)/(7^(4log_(49)x)-x-1)gt0,AAx in(0,oo)`.
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`y=(x^(4)-(x^(2)+2x+1))/(x^(2)-x-1)=x^(2)+x+1`
`therefore" "(dy)/(dx)=2x+1=ax +b`
Hence, a=2 and b=1
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