MAT131 Fall 2025 Notes
mathnstuff.com/math/calc/MAT131fa25/c.9.htm
© 10/2/2025,
A
2
, Agnes Azzolino
SUMMARY PRESENTATIONS
Welcome to Calc I!
Show Off Your Mastery As You Review for the Test
Hi,
You all did beautifully with the Test 1 Summaries.
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2
A Few Possible Projects
1. Instantaneous Rates of Change and Interpretations
of the Derivative (2.1-2.2)
2. Real-world examples of instantaneous rates of
change and average rates of change
3. Prove Some Basic Differentiation Rules (2.3)
4. Prove Other Basic Differentiation Rules (2.3)
5. Analytically explain the derivative of ln(x)
6. Use the Geometer's Sketchpad to graph (then name)
the derivative of a function using TRACE
7. write a problem set w/answers and work
8. write a connect-the-dots
9. review the cyclic nature of the derivatives &
antiderivatives of the sine and cosine
10. The Product (2.4)
11. The Quotient Rules (2.4)
12. Analytically explain the derivative of ln(x)
13. Take a derivative with a web calculator
14. Take a derivative with a TI calculator
"The Cyclic Nature of the Derivatives &
Antiderivatives of the Sine and Cosine"
© 2025, Aiden S. Ney
"The Product Rule"
© 2025, Alexander R. Lopez
"Taking a Derivative with a Web Calculator"
© 2025, Junhan Yang
