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Question

The point of inflection of the function f(x)=x3+3x2+3x+8 ; xR exist at which value of x

A
1
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B
2
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C
1
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D
Does not exist
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Solution

The correct option is A 1
f(x)=x3+3x2+3x+8f(x)=3x2+6x+3=0x2+2x+1=0x=1
f′′(x)=6x+6f′′(1)=6+6=0
So, x=1 is a point of inflection.

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