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
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