Mathematics : asked on acejr819
 13.04.2020

Suppose that f(x) is a function with f(120) = 37 and f'(120) = 6. Estimate f(122).

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03.03.2023, solved by verified expert
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Answer:

f(122) = 49

Step-by-step explanation:

Using linear approximation for y = f(x) at x = a is, 

f(x) = f(a) + f'(a)(x - a) 

For the given question, a = 120

So, 

f(x) = f(120) + f'(120)(x - 120) 

Putting known values, 

f(x) = 37 + 6(x - 120) 

So, at x = 122,

f(122) = 37 + 6(122 - 120) 

= 37 + 12

= 49

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