Find the linearization L(x) of the function at a. f(x)=\sqrt{x}, a=4

Dottie Parra 2021-09-09 Answered
Find the linearization L(x) of the function at a.
f(x)=x,a=4
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Expert Answer

brawnyN
Answered 2021-09-10 Author has 91 answers
f(x)=x
f(4)=4=2
f(x)=12x
f(4)=124=14
The linearization L(x) of f at a=4:
L(x)=f(a)+f'(a)(x-a)
L(x)=2+14(x4)
L(x)=14x+1
Results:
L(x)=14x+1
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