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Estimate f(6.2) if f(6)=7 and f′(6)=6

1 Answer

3 votes

Answer:

8.2

Explanation:

OK, here is a calculus formula for linear approximation:

f(x) = f(a)+f'(a)(x - a)

a is your approximation, and here we use the value 6, so

f(x) = f(6)+f'(6)(6.2 - 6)

f(x) = 7 + 6(.2) = 8.2

By this formula, your answer is 8.2

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