If `y=(a x-b)/((x-1)(x-4))` has a turning point `P(2,-1),` find the value of `aa n db` and show that `y` is maximum at `Pdot`

Explanation

Given, `y=frac{a x+b}{(x-1)(x-4)}`


Taking `log` both side, `log y=log (a x+b)-log (x-1)-log (x-4)`


Differentiating w.r.t `x` both side,



`frac{d y}{y cdot d x}=frac{a}{a x+b}-frac{1}{x-1}-frac{1}{x-4}`



Given turning value at `(2,-1)`



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