anonymous
  • anonymous
What is linearization?/ How do you do it?
Mathematics
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anonymous
  • anonymous
What is linearization?/ How do you do it?
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
A linearization is a method of approximating values of a function using a tangent line
anonymous
  • anonymous
do you have a specific question?
anonymous
  • anonymous
Given a point x = a, the linearization of f(x) at x = a is L(x) = f'(a)(x-a)+f(a)

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anonymous
  • anonymous
No I don't. I have a free response tomorrow and thats all my teacher said to know.
anonymous
  • anonymous
at points very close to x = a on the graph of f(x), L(x) can give a decent approximation
anonymous
  • anonymous
L is an approximation of the slope at f(a)
anonymous
  • anonymous
no, not of the slope
anonymous
  • anonymous
it approximates values of f(x) (the function)
anonymous
  • anonymous
So basically find the slope that the point that is given and plug it in?
anonymous
  • anonymous
you need the slope at the point, which is f'(a)
anonymous
  • anonymous
All a linearization is is the equation for a tangent line to a function at a point x = a
anonymous
  • anonymous
Oh ok. That makes sense. Thank you
anonymous
  • anonymous
No problem

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