CW1.Given the function

with domain all,

a) compute the first three derivatives

()= (),

2

2()= (),

3

3()= ().

3

()= 1 + ,

(Note that all three derivatives have domain 1.For the first derivative of3

this cubic root, remember that the tangent line at the graph of()=1 + is vertical at = 1.)

b) evaluate the first three derivatives at an input = 0,(0),

(0), (0).

c) Assemble the McLaurin polynomial of degree three of the above function

3

()=1 + .

d) If you see a pattern in a, b and c, above, write down the McLaurin series of the

3

above function()=1 + .