x-3/x=2 where x is not equal to 0
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Answer:
f(x)=ax
3
+bx
2
+cx+d
⇒f
′
(x)=3ax
2
+2bx+c
For no extrema, f should have zero turning points, i.e. above quadratic have no real roots.
⇒(2b)
2
−4⋅3a⋅c<0
⇒b
2
<3ac
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