AP Calc BC 14.15
AP Calculus BC for 2014-15
Table of Contents
- Limits
- Derivatives... Tangent Lines
- Average Rate Of Change
- Average Rates of Change 1
- Average Rates of Change 2
- Average Rates of Change 3
- Average Rates of Change 4
- Epsilon-Delta Differentiability
- Sketch Derivatives
- Sketch/Draw the Derivative
- Related Rates
- Related Rates - two ships
- Related Rates - rocket
- Polar
- Integration (Sums -> Calc)
- fundamental theorem of calculus
- Riemann Sum Sketch
- Area between curves
- Volume of Solids
- Vectors/Parametrics
- Graphing parametric curves
- Series
- Radius of convergence
- The Taylor and Maclaurin series.
- Convergent or Divergent Series
- Weird Taylor Approximation Example
- Power Series Representations of Functions
Average Rate Of Change
Sketch/Draw the Derivative
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Sketching Derivatives |
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Steps: 1. Enter a function using the INPUT BOX. (You need to make sure the graphics bar is highlighted in VIEW.) 2. Construct POINT ON OBJECT on the graph of the function. 3. Construct a TANGENT LINE to the graph of the function at the constructed point. 4. Use the tangent line to estimate critical values and inflection points of the function. 5. Your task will be to construct a graph of the derivative. a) Construct points on the derivative's graph using the point tool and what you have learned so far. b) Under the TEXT BOX tool, select the PEN TOOL and then try to DRAW THE DERIVATIVE of the function. 6. Once you have sketched your derivative graph, use the INPUT BOX to actually sketch the derivative of the function. ************************************************************************************************* *7. How close where you? On a scale of 1 to 10, 1 being "no where close" and 10 being "WOOHOO, I GOT IT!!!", how did you do? ________ *8. If your sketch was not perfect, what part of your thinking was a bit "off" and why? |
Related Rates - two ships
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fundamental theorem of calculus
Graphing parametric curves
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Graphing parametric curves. |
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