Of particular interest are points at which the concavity changes from up to down or down to up; such points are called inflection points. Concavity, convexity and points of inflexion Submitted By ... to concavity in passing through the point . If P(c, f(x))is a point the curve y= f (x) such that f ‘() , Definition If f is continuous ata and f changes concavity ata, the point⎛ ⎝a,f(a)⎞ ⎠is aninflection point of f. Figure 4.35 Since f″(x)>0for x
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