Math Problem Statement

Find the linearization of the function

f(x)=cube root (7+x)

centered at a=1

.

Answer: L(x)=

Use this linearization to approximate cube root (8.06)

.

Answer:

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Linearization
Derivatives

Formulas

L(x) = f(a) + f'(a)(x - a)
f'(x) = 1/3(7 + x)^(-2/3)

Theorems

Linear approximation theorem

Suitable Grade Level

Grades 11-12