Lab, october 12
What I did learn from the exercises
• I have learnt what the average rate of change between two points on a function looks like. And when one point approaches the other, average rate approaches instantaneous rate. Even more I have learnt what the instantaneous rate look like.
• A tangent line is a line that interact the function at a point. At this point you find instantaneous rate for the function.
• About the slope: The slope can have positive slope which means it’s increasing. When the function is increasing the derivative is positive than zero. On the opposite when the slope is decreasing the derivative is less than zero.
• From looking at the points on your graph you can tell if there is a maximum or a minimum. For example if the graph is positive, zero and than negative you have got a increasing maximum. On the other hand if you got a negative, zero and then positive you must have a minimum where the graph is decreasing.
October 16th, 2006 at 7:40 pm
Comment on the paragraoh on slope:
When a function is increasing , the slope and therefore the derivative is positive. When the function is decreasing , the derivative is negative.