If f(2) = 10 and f prime of x equals the quotient of x cubed and the quantity x plus 6, which of the following is the best approximation for f(2.03) using local linearization?

a. –7.97
b. 8.03
c. 10.03
d. 3.03

Question

If f(2) = 10 and f prime of x equals the quotient of x cubed and the quantity x plus 6, which of the following is the best approximation for f(2.03) using local linearization?

a. –7.97
b.  8.03
c.  10.03
d.  3.03

dumbcow · Answer

$$f(x) = f(a) + f'(a) (x-a)$$
Let
x = 2.03
a  = 2

dumbcow · Answer

https://en.wikipedia.org/wiki/Linear_approximation