1. Compare the values of dy and Δy for the function.
Function | x-Value | Differential of x | ||
f(x) = 5x + 1 | x = 1 | Δx = dx = 0.01 |
dy | = | |
Δy | = |
2. Use differentials to approximate the change in profit corresponding to an increase in sales (or production) of one unit. Then compare this with the actual change in profit.
Function | x-Value | |
P = −0.2x3 + 800x − 80 | x = 40 |
dP | = | dollars |
ΔP | = | dollars |
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