jillmcote jillmcote

13-02-2017
Mathematics

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Suppose that f(x)f(x) is a function with f(155)=52f(155)=52 and f′(155)=4f′(155)=4. Estimate f(160)f(160).

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LammettHash LammettHash

13-02-2017

By the mean value theorem, the linear approximation of a function around [tex]x=a[/tex] is

[tex]L(x)=f(a)+f'(a)(x-a)[/tex]

so the desired approximation can be computed with

[tex]f(160)\approx f(155)+f'(155)(160-155)=72[/tex]

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