Question

Find linearization L(x) of the function at a.

Answer 1

\[f(x)=x ^{2/3} , a=64\]

Answer 2

\[f(64)=64^{2/3}=\sqrt[3]{64}^{2}=(4)^{2}=16\]
f'(x)=\[\frac{ 2 }{ 3 }x ^{-1/3}\]

Answer 3

HI!!

Answer 4

hello

Answer 5

translate as "find the equation for the line given a point and a slope"

Answer 6

\[f'(64)=\frac{ 2 }{ 3 }(64)x ^{-1/3}\]

Answer 7

=1/6

Answer 8

the point is \((64,8)\) and the slope is whatever the derivative is when you plug in \(64\) i.e. \[f'(64)\]

Answer 9

ok you are pretty much done