Question

f (x) = 3 + x sin

Answer 1

okay so what do I do with the 0.2???????

Answer 2

well, you need to use linear approximation.

Δy = f'(a) Δx, where a is the point of tangency. In this case, a=1

Answer 3

Δx = 2, find derivative of f(x) evaluated at x = 1. Plug them in, and there is your answer

Answer 4

Δx = 0.2 sorry

Answer 5

wait so
1. find the derivative
2. evaluate it at 1
Then do I plug 0.2 into something?

Answer 6

Δy = f'(1) (0.2). So yes

Answer 7

wait so I evaluate it with 1 and then I multiply it by 0.2?

Answer 8

Δy = f'(1) * Δx

(derivative at 1) times ( 0.2)

Answer 9

okay. haha! just making sure that I am doing it right. Thanks for the help!