find the derivative of above attachment plz
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10
Answer:
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Answered by
1
Step-by-step explanation:
Let y=
x
2
+x+1
x
2
−x+1
⇒yx
2
+yx+y=x
2
−x+1
⇒(x−1)x
2
+(y+1)x+(y−1)=0
If x∈R, then
Discriminant ≥0
⇒(y+1)
2
−4(y−1)
2
≥0
⇒−3y
2
+10y−3≥0
⇒3y
2
−10y+3≤0
⇒(3y−1)(y−3)≤0
⇒
3
1
≤y≤3
∴ Range =[
3
1
,3]
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