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.
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.
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