Originally Posted by

**asweet1** Suppose f has the values shown below:

f(1.9)=6.6, f(1.97)=6.905, f(2.0)=7, f(2.02)=7.059, f(2.2)= 7.5

Use the tabulated values of f to estimate.

1) f'(1.9)

The book says the answer to #1 is f'(1.9)= 4.357

2)f'(1.97)

Use the values f(1.9), f(1.95), f(2.0) and f(2.01) to estimate

(a) f'(1.9)

(b)f'(2.0)

(c)f'(2.01)

3) f(x)=x^2

the book says the answer for this one is

(a) -3.85

(b) 4.01

(c) 4.01

For both questions I do no understand how to get these answers. Am I suppose to use a formula? I would I go about solving these I do not understand derivatives well. Please explain I need to understand. Thank you.