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Maxe4naMungwal
Maxe4naMungwal Maxe4naMungwal
  • 16-12-2016
  • Mathematics
Answered

F(x) = x^-1, x=.9.


Use linear approximation to estimate answer

Verified Answer :

nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 23-12-2016

L(x) = f'(a)(x - a)
f(x) = x^(-1), f'(x) = -x^(-2)
Let a = 1, f'(a) = -(1)^(-2) = -1
L(0.9) = f'(1)(0.9 - 1) = -1(-0.1) = 0.1

Therefore, linear approximation of f(x) = x^(-1) for x = 0.9 is 0.1

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