Posted by **Ben** on Sunday, November 8, 2009 at 3:48am.

Use linear approximation, i.e. the tangent line, to approximate sqrt[3] { 8.4 } as follows:

Let f(x) = sqrt[3] x. The equation of the tangent line to f(x) at x = 8 can be written as y=mx+c where m=1/12 b=4/3

find the approximation for sqrt[3] {8.4}