The data in Exercise 6 were taken from the following functions. Compute the actual errors in Exercise 6, and find error bounds using the error formulas.
a. f (x) = e2x ˆ’ cos 2x
b. f (x) = ln(x + 2) ˆ’ (x + 1)2
c. f (x) = x sin x + x2 cos x
d. f (x) = (cos 3x)2 ˆ’ e2x
In Exercise 6
a.

b.

c.

d.

fa) fa) -0.3 |-0.27652 -0.2 -0.25074 -0.1 |0.16134 0 0 f(x) | f'(x) 7.4 |-683193 7.6-71.6982 7.8-75.1576 8.078.6974 1.1 1.52918 1.2 1.64024 1.3 1.70470 14 1.71277 f(x) f'(x) -2.7 0.054797 -2.5 0.11342 2.3 0.65536 -2.1 0.98472