Lumen OHM Assessment

Use linear approximation, i.e. the tangent line, to approximate

\sqrt[3]{1.1}

$root(3)( 1.1 )$ as follows:
Let

f (x) = \sqrt[3]{x}

$f(x) = root(3)(x)$ . The equation of the tangent line to

f (x)

$f(x)$ at

x = 1

$x = 1$ can be written in the form

y = m x + b

$y = mx+b$

where

m

$m$ is:
and where

b

$b$ is:

Using this, we find our approximation for

\sqrt[3]{1.1}

$root(3)(1.1)$ is

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