MASTERSHEET 
Copy/Paste Formulae for Chapter 16 Rate of Change

>Copy the formula you need
>Paste it into the other workbook you are using
>NOTE: Do NOT alter the formulae in this workbook, these are your templates only.

Handy Shortcuts

Shift+Enter to execute a command
Ctrl-s save your file
Alt+7 to start a text cell
Ctrl-/ gives a fraction (□/□)
Ctrl-2 gives a square root sign (Sqrt[□])
Ctrl-6 gives an exponent (□^□)

All Mathematica commands start with a Capital and use square brackets [ ]
For examples Plot [ ]

MATHEMATICA COMMANDS FOR Chapter 16

1. Instantaneous Rate of Change

D[function,x]/.x->"Enter x value here"//N

D[x^2+x^3,x]/.x->1.3//N

2. Average Rate of Change

c[x_]:=function
DifferenceQuotient[c[x],{x,"Enter Higher value here"-"Enter Lower value here"}]/.x->"Enter Lower value here"//N

c[x_]:=10^x
DifferenceQuotient[c[x],{x,0.5-0}]/.x->0//N

c[t_]:=3*t^2+4t+2
DifferenceQuotient[c[t],{t,3-1}]/.t->1//N

3. To plot one graph

Plot[{"function"},{x,"Minimum","Maximum"},PlotLegends->"Expressions"]

Plot[{2^x},{x,0,10},PlotLegends->"Expressions"]

4. To plot few graphs on the same plane

Plot[{"function1","function2","function3"},{x,"Minimum","Maximum"},PlotLegends->"Expressions"]

Plot[{Sin[x],Sin[2x],Sin[3x]},{x,0,2Pi},PlotLegends->"Expressions"]