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Consider f,g and h be three real valued differentiable functions defined on R. Let `g(x)=x^(3)+g''(1)x^(2)+(3g'(1)-g''(1)-1)x+3g'(1)`
`f(x)=xg(x)-12x+1` and`f(x)=(h(x))^(2),` where `g(0)=1` Which one of the following does not hold good for y=h(x)

A

Exactly one critical point

B

No point of inflexion

C

Exactly one real zero in (0,3)

D

Exactly one tangent parallel to y-axis

Text Solution

Verified by Experts

The correct Answer is:
C
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