Question

Suppose that f(x) is a function with f(115)=76 and f′(115)=4 Estimate f(117.5)

Answer 1

Using the definition of the derivative, we can estimate f(117.5) as follows:

f(117.5) ≈ f(115) + 4(117.5 - 115)
= 76 + 4(2.5)
= 84

Answer 2

Haven't you beaten this type of problem to death yet? Surely by now you know how to solve them.