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linear approximation f(x)=x+1/x , a=-1

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linear approximation f(x)=x+1x , a=−1

Solution

−2

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Linear approximation

The linear approximation of the function f(x) at point a is L(x) = f(a)+f ′(a)(x−a)

f(x)=x+1x , a=−1

f(a): −2

f ′(a): 0

L(x)=f(a)+f ′(a)(x−a)

=−2+0· (x−(−1))

Simplify −2+0· (x−(−1)): −2

=−2

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+▭▭	>	4	5	6	×	☐☐☐
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linear approximation f(x)=x+1/x , a=-1

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