Today in class we did a gsp on tangent lines and derivatives.
For a increasing function à derivative is greater than 0.
For a decreasing functionà derivative is less than 0.
At high/low pts on the graph à derivative=0.
Derivative can tell you where the maximum and minimums are as well as where the function is increasing or decreasing.
If [...]
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 Getting Off on a Tangent lab showed a number of things. It first pointed out that the average rate of change between two points on a function is the slope of the secant line between the two points. Then as one point approaches the other, the average rate approaches the instantaneous rate. [...]
