The type of the function f(x) = 3x3 - 2x2 – 5
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Step-by-step explanation:
Answer
Correct option is
A
increasing in R
We have,
f(x)=x
3
−3x
2
+5x+7
f
′
(x)=3x
2
−6x+5
iff
′
(x)>0
⇒3x
2
−6x+5>0
⇒3(x
2
−2x+
3
5
)>0
⇒3(x
2
−2x+1−1+
3
5
)>0
⇒3(x−1)
2
+2>0
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