November

November – deep into derivatives. This month’s featured posts from past Novembers are below. “Speed,” which discusses various ways to approach this topic, seems to be one of the most popular with close to 2600 hits since it was first posted in 2012. This is followed by “Open cor Closed” which discusses a question that…

Vase 1

The Marble and the Vase

A fairly common max/min problem asks the student to find the point on the parabola that is closest to the point .  The solution is not too difficult. The distance, L(x), between A and the point  on the parabola  is given by And the minimum distance can be found when This occurs when . The local…

Red Graph: $latex y={{x}^{3}}-4{{x}^{2}}+3x+4$
Blue Graph: $latex y={{x}^{3}}-4{{x}^{2}}+3x$

Extremes without Calculus

There was an interesting question last week on the AP Calculus Community Bulletin Board. A teacher was working with polynomial functions in her pre-calculus class and the class had learned how to find the roots, and how the roots and their multiplicities affected the graph. Her question was whether there is a way to determine…

4328070_orig

October

School is underway and I hope things have settled down for you. You may need a little break so I suggest you give the Calculus Humor website a look. You‘ll find some humorous things there such as the graph at the top of this post. As the name suggests they are all based on calculus.…