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

Use linear approximation to estimate answer

Question

Mathematics

Roselyn Johns

7 July, 19:07

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

Use linear approximation to estimate answer

+3

Answers (1)

Know the Answer?

Savannah Mcgee · Answer 1

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

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

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

Use linear approximation to estimate answer