Sebastian M. answered • 10/10/20
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The Linearization at x=a of f(x) is defined as follows:
L(x)= f(a)+f'(a)(x-a)
So you need to find f(13) and f'(13) and then just plug into the equation. To find f(13) you're going to have to take the derivative of y.
Sebastian M.
ok so usually we set f(x) equal to y f(x)=(12+x)^-1/2 Then find the derivative of f. I'm just going to write it out, you should study the derivative rules on your own and try to get to this: f'(x)=-1/2*(12+x)^-3/2 For the linearization you need f(a) and f'(a). Since a=13 then you need plug in 13 into f(x) and f'(x). I will just tell you what they are, you should do the calculations on your own f(13)= 1/5 f'(13)= -1/250 Then you plug in everything you know into the formula for L: L(x) = 1/5-1/250*(x-13) This is complicated stuff so make sure you work through it. If you need more help then I can tutor you online.
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10/11/20
Precious W.
Thank you I understand what I was doing wrong. I only plugged 13 into f'(x) and did not distribute x-13 fully. after I fixed my mistake I got the correct answer.
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10/12/20
Sebastian M.
Great job Precious! Let me know if I can help with tutoring at any time!
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10/12/20
Precious W.
I need help solving it. I'm not understanding the equation itself or how to get L(x)10/10/20