Question

x² −x+1 / x² +x+1
find max and min value​

Answer 1

Answer:

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Let z=x2+x+1x2−x+1

⇒z=x2+x+1x2+x+1−2x

⇒z=x2+x+1x2+x+1−x2+x+12x

⇒z=1−x2+x+12x

Let y=x2+x+12x

dxdy=(x2+x+1)2(x2+x+1)×2−(2x)(2x+1)

dxdy=(x2+x+1)