If $f (x) = x (x^{2} + 1)$ $f(x)=x(x^2+1)$ , what are the points of inflection, concavity and critical points?

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If $f (x) = x (x^{2} + 1)$ $f(x)=x(x^2+1)$ , what are the points of inflection, concavity and critical points?

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Answer 1 · 2015-11-06T00:14:11

Inflection points are where the slope (1st derivative) changes sign (i.e. =0). This is also called a 'critical point'. The curve is concave 'up' when the 2nd derivative is positive, and 'down' when it is negative.

Explanation:

http://www.math.com/tables/derivatives/extrema.htm

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If $f (x) = x (x^{2} + 1)$ $f(x)=x(x^2+1)$ , what are the points of inflection, concavity and critical points?

1 Answer

Explanation:

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Impact of this question

Science

Math

Humanities

... and beyond

If f(x)=x(x^2+1) f(x)=x(x2+1)f(x)=x(x^2+1) , what are the points of inflection, concavity and critical points?

1 Answer

Explanation:

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Impact of this question

If $f (x) = x (x^{2} + 1)$ $f(x)=x(x^2+1)$ , what are the points of inflection, concavity and critical points?