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Calculus II Cheat Sheet (DRAFT) by

Calculus II vital formulas, with some example problems.

This is a draft cheat sheet. It is a work in progress and is not finished yet.

6.1 : Functions of Several Variables

P(x,y) = 4x+6y: Find P(25,10)
Substitute 25 for x and 10 for y.
C1/C2­=Ol­d/New Cost V1/V2=­Old/New Cap.
C2 = (V2/V1­)0.6*C1
Finding the number of phone calls between 2 cities.
N(d,P1,P2) =

6.2 : Partial Deriva­tives

Q.)When does the sub-va­riable cancel out of the partial deriva­tive?
A.)When you partially derive and treat the sub-va­riable as a constant.
Q.)When does the sub-va­riable stay in the partial deriva­tive, and stay untouc­hed?
A.)When you partially derive with respect to the sub-va­ria­ble.
What does the partial derivative give?
P.D. of f w/respect to x gives the slope of the tangent line in the +x direct­ion.