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

##### 1 Answer

Nov 6, 2015

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.