Question

Find the linearization of the function.

A) Use the Taylor series
B) Apply the chain rule
C) Employ the parametric form
D) Apply the normal vector

Answer 1

To find the linearization of a function, we can use the Taylor series expansion. The linearization is the first two terms of the Taylor series.

Step-by-step explanation:

To find the linearization of a function, we can use the Taylor series. The Taylor series expansion of a function f(x) about a point x = a is given by:

f(x) = f(a) + f'(a)(x - a) + f''(a)(x - a)^2/2! + f'''(a)(x - a)^3/3! + ...

The linearization of the function is simply the first two terms of the Taylor series. It is given by:

L(x) = f(a) + f'(a)(x - a)