Differentiate (x-1)/(x-2)

1.	Differentiate (x-1)/(x-2)
Answer» ★ $\large\color{red} \mathrm{Hey \: There!}$ ★ Ley y = (x-1)/(x-2) => y' = {(x-1)'(x-2) - (x-2)'(x-1)}/(x-2)^2 y' = {x-2 - x+1}/(x-2)^2 y' = -1/(x-2)^2 Thus, DIFFERENTIAL of (x-1)/(x-2) is -1/(x-2)^2.

Answer»

★ $\large\color{red} \mathrm{Hey \: There!}$ ★

Ley y = (x-1)/(x-2)

=> y' = {(x-1)'(x-2) - (x-2)'(x-1)}/(x-2)^2

y' = {x-2 - x+1}/(x-2)^2

y' = -1/(x-2)^2

Thus, DIFFERENTIAL of (x-1)/(x-2) is -1/(x-2)^2.

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Differentiate (x-1)/(x-2)​

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Differentiate (x-1)/(x-2)