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5. Applications of Derivatives

5. Applications of Derivatives / Linearization / Problem 9

Problem 9

Find the linear approximation of the function $g(x)$ for small values of $x$ using the formula $(1 + x)^k ≈ 1 + kx$ .
$g(x)=(1+x)^4$

A

$1 plus 4 x$

B

$1 plus 2 x$

C

$4 plus x$

D

$3 plus x$

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