• The slope of the tangent line at the point is
dy
dx
x=2 = 2x
x=2 = 4 =
4
1 =
rise /run .
• A vector parallel to the tangent line is v = [1,4]
• A vector parallel to the tangent line is v = [1,4].
Two unit vectors parallel to the tangent line are
u =
v /|v| =
[1,4]/ √
1+16 =
h
√ -1/ √ 17 , 4 /√ 17 i
and
