the graph of y=f\"(x) for a function f is shown. number of points of inflection for y=f(x)
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shreyas bulbule , 5 Years ago
Grade 12
Differential Calculus> the graph of y=f"(x) for a function f is ...
2 Answers
Aditya Gupta
Last Activity: 5 Years ago
A necessary condition for to be an inflection point is f”(x)=0. A sufficient condition requires f”(x+e) and f”(x – e) to have opposite signs in the neighbourhood of x.
here, obviously f”(x)=0 at A, C and E.
however, the sign of f”(x) in any neighbourhood however small around the point C is positive and doesnt change.
so, number of points of inflection for y=f(x) is 2 (A and E).
kindly approve :)
Sambhav
Last Activity: 5 Years ago
you can simply answer this question by seeing the graph....
point of inflection is a point where a graph change its curvature, in graph there are two points where the graph change its curvature i.e. at B and D.
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