math calculus

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The revenue R for a company selling x units is
R = 700x − 0.1^x2.
(a) Use differentials to approximate the change in revenue as the sales increase from 2900 units to 3000 units.
dR = $

(b) Compare this with the actual change in revenue.
ΔR = $

  • math calculus -

    dR=700dx-.2x dx=dx(700-.2x)

    put in dx as 100, x as 2900
    a. I get 100(700-.2*2900=12000

    b. actual change:
    R(2900)=1189000
    R(3000)=1200000
    dR=11000

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