T10/7, M10/6, W10/8, Th10/9, Fall 2025, MAT131 Notes

MAT131 Fall 2025 Notes
mathnstuff.com/math/calc/MAT131fa25/c.10.htm
© 2025 A², Agnes Azzolino
The Chain Rule (2.5, pg. 100)

Welcome to Calc I!

Hi,
A composite function is a function of a function. You probably
don't need the review but, included below is Precalc Review Material.
Contact me through the pink box on www.mathnstuff.com/math/math.htm
Stay safe, A²

Calc Material

Substitution web page
blank copy of video problems, for answers see Sing the Derivatives Video
Go to 10:34 into the video for example 3, "Sing the Chain Rule."
Derivatives connect-the-dots pdf answers

Precalc Review Material

composit, definition in arithmetic & algebra
Dilation of a Function by another Function - Polynomial & Rational Functions
parabola.gsp --
compositeFX.gsp -- build 2 functions using other functions
compositeFx.poly.ratl.gsp -- build functions using other functions
0 - graph of 1 function
1 - graphs of 2 functions
2 - composite of 4 functions
3 - polynomial. links to polynomial, dilations gif, quatratic.htm, equation, discriminant
4 - rational, rational function features & how to find them
5 - end behavior, battle of (Ax^m)/(Bx^n)
COMPOSITION -- Composition of Functions
Dilation notes
Dilation creates functions
dilation by a constant animation