Answered

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Find a linearization at a suitably chosen integer near a at which the given function and its derivative are easy to evaluate. f(x) = x^(-1), a = 0.9

Sagot :

A linearization at a suitably chosen integer near a at which the given function and its derivative are easy to evaluate is L(x)=-6 -4x .

What is function ?

A function is a type of rule that produces one output for a single input. Source of the image: Alex Federspiel. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.

Nearest integer is x =-1

Centre of linearization as x =-1

f(x)=3x2 +2x -3

f(-1)=3(-1)2 +2(-1) -3

f(-1)=-2

f(x)=3x2 +2x -3

f '(x)=6x +2

f '(-1)=6(-1) +2

f '(-1)= -4

L(x)=f(-1) + f '(-1) (x-(-1))

L(x)=-2 -4(x+1)

L(x)=-2 -4x -4

L(x)=-6 -4x

To learn more about function visit:https://brainly.com/question/21145944

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