Question

1. Compare the values of dy and Δy for the function. Function      x-Value      Differential...

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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