Inflection and Gradient ```Name: Rochelle W. Status: student Age: N/A Location: N/A Country: N/A Date: N/A ``` Question: Does the point of oblique inflection in a polynomial function equal to when the gradient is the greatest? Replies: By "oblique inflection" I assume you mean a point of inflection where the slope (gradient) is not zero. If this is so it can go either way. With a graph it's easy to see. Let us see if we can "talk it through". Starting from left and going right, if a positive gradient (slope) decreases to a non-zero positive value, then starts to increase again, then the slope has a minimum, but non-zero positive value at the point of inflection. On the other hand, again starting from left and moving right, if negative slope decreases to a smaller but non-zero slope and then starts to become more negative again, the slope has a maximum, but negative value, at the point of inflection. Vince Calder Click here to return to the Mathematics Archives

NEWTON is an electronic community for Science, Math, and Computer Science K-12 Educators, sponsored and operated by Argonne National Laboratory's Educational Programs, Andrew Skipor, Ph.D., Head of Educational Programs.

For assistance with NEWTON contact a System Operator (help@newton.dep.anl.gov), or at Argonne's Educational Programs