Calculus 1 Question

Question

Given are a function, an a, and a b. Use this information to approximate f (b) using the value and the derivative of the function at a.

f (x) = 3x + 3, a = 2, b = 2.5

Answer 1

Although you can calculate f(b) exactly, the question, I think, wants you to use the Mean Value Theorem

which would give f(b)=f(a) + 3(2.5-3)