Q.

The point of inflection of y=x3-5x2+ 3x – 5 is

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a

12

b

34

c

74

d

54

answer is D.

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Detailed Solution

Since y is twice differentiable function so for inflection points y''(x)=0,y'''(x)≠0y'(x)=3x2-10x+3y''=6x-10.   So, y''(x)=0 if x=54y'''(x)=6≠0.   So, x=54 is a point of inflection.
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