2006-09-07 14:59:39 · 3 answers · asked by venee 1 in Education & Reference ➔ Higher Education (University +)
I'm not sure what you mean by "intermediate mathematics", but a critical point is a place where the function may go from increasing to decreasing or vice versa - essentially a place where the function can change directions. There are two types - places where the function goes momentarily horizontal - flat - wich may be an extreme point or may simply be a step. The other type is where the function goes vertical - again, possibly an extremum.
2006-09-07 15:08:21 · answer #1 · answered by Anonymous · 0⤊ 0⤋
If the first derivative of a function is equal to zero, then that point is a critical point. It is either a local maximum, a local minimum or a point where the function changes from being convex to concave. If the second derivative is negative, it is a maximum. If the second derivative is positive, it is a minimum. If the second derivative is also zero, it is a point where it switches from convex to concave.
2006-09-07 23:16:13 · answer #2 · answered by Ranto 7 · 0⤊ 0⤋
criticla point mean that the function turned from increasing fun. to decresing one or from decreasing fun .to increasing fun .
2006-09-07 22:11:09 · answer #3 · answered by kater al nada 2 · 0⤊ 0⤋