The figure shows how a function and its linear approximation (i.e., its tangent line) change value when changes from to .
Suppose , and . Your answers below need to be very precise, so use many decimal places.
(a) Find the change .
=
(b) Find the estimate (i.e., the differential) .
=
(c) Find the approximation error .
Error =
(Click on graph to enlarge)
You can earn partial credit on this problem.