Question

Suppose f is a function with ƒ(5) = 24 and f'(5)= 7. Using the local linearization L(x) at x=5 estimate the following values of f.

Answer 1

To estimate values of f using local linearization, we can use the equation L(x) = f(a) + f'(a)(x-a) where a is the point of interest. In this case, a = 5 so the equation becomes L(x) = 24 + 7(x-5).

Step-by-step explanation:

To estimate the values of f using local linearization, we can use the equation of a line: L(x) = f(a) + f'(a)(x-a). In this case, the point of interest is x = 5. Using the given information, we have L(x) = 24 + 7(x-5). Now we can estimate f for different values of x by substituting them into the equation.