Find the linearization
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Find the linearization

[From: ] [author: ] [Date: 11-10-19] [Hit: ]
......
find the linearization L(x) at x=a
f(x)=-2x^3-5x+3 a=-3

L(x)=?

-
f(-3) = 54 + 15 + 3 = 72

f '(x) = -6x² - 5
f '(-3) = -54 - 5 = -59

L(x) = 72 + (x - -3)f '(-3)
L(x) = 72 - 59(x + 3)
L(x) = 72 - 59x - 177
L(x) = -59x - 105
1
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