Estimate f (6.2) if f (6) = 7 and f′ (6) = 6

8.2

Step-by-step 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