- #1
forestmine
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- 0
Homework Statement
Find the linear approximation of [itex]\sqrt[3]{27.02}[/itex]
Homework Equations
f(x)+f'(x)(x-a)
The Attempt at a Solution
So what I did was work with[itex]\sqrt[3]{27}[/itex] since that's an easily known value. So my f(x)=x[itex]^{1/3}[/itex] and my f'(x)=1/3x[itex]^{-2/3}[/itex]. From there, I worked f(27) = 3, and f'(27)=1/27.
Then I used the above equation. 3+1/27(x-27). For my value of x, I used 27.02, and got .0004.
Something tells me I'm doing something incorrectly, though...
Thanks for the help!