Notes:
Calc I, Derivative Cheat Sheets

calc1       MAT131 Spring 2025 Notes

Feb 26 & 27:  Related Rates (4.2, pg. 174) & Related Rates Web Page

 
The volume of a cylinder
V = πr²(h)


radius:   units
height:   units



= cubic units
The rate of change of volume of a cylinder
V = πr²(h)
dV/dt = π[2r(dr/dt)h + r²(dh/dt)]
 
radius:   at the given time
height:   at the given time
dr/dt:   units per unit time
dh/dt:   units per unit time
 
= cubic units
= cubic units per unit time


[MC,i. Home, site home page] calc1 [Words] spread sheet notes asquared at MCC [Essays] Classes [Table]
2/26/2025, A2, Agnes Azzolino
mathnstuff.com/math/calc/31sp25/31sp25.2.26.27.htm