Question

Use linear approximation, i.e. the tangent line, to approximate 3 √ 1.3 as follows: let f ( x ) = 3 √ x . The equation of the tangent line to f ( x ) at x = 1 can be written in the form y = m x b.

Answer 1

The equation of the tangent line to f(x) at x = 1 can be written as:

y = (3/2)x + 3/2