Edit article how to find inflection points in this article article summary understanding inflection points finding the derivatives of a function finding an inflection point community qa in calculus an inflection point is a point on a curve where the curvature changes sign. An inflection point is a point on a curve at which the sign of the curvature ie the concavity changes inflection points may be stationary points but are not local maxima or local minima for example for the curve yx3 plotted above the point x0 is an inflection point the first derivative test can sometimes distinguish inflection points from extrema for differentiable functions fx. Inflection points are points where the function changes concavity ie from being concave up to being concave down or vice versa they can be found by considering where the second derivative changes signs in similar to critical points in the first derivative inflection points will occur when the second derivative is either zero or undefined
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