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GaryK [48]
3 years ago
15

F(x) = x^-1, x=.9. Use linear approximation to estimate answer

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
8 0
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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