http://openstudy.com/users/idealist10#/updates/54fde26ee4b0018859f288f1
In[6]:=
Clear@"Global`*"D; $Line = 0;
Make y(x) = Sec(x]
In[1]:=
y@x_D := Sec@ xD
An instance of y(x)
In[2]:=
Out[2]=
y@xD
Sec@xD
Calculate the curvature.
y ''@xD
 Factor
In[3]:=
32
I1 + y '@xD2 M
Sec@xD ISec@xD2 + Tan@xD2 M
Out[3]=
32
I1 + Sec@xD2 Tan@xD2 M
Plot the expression above from x = 0 through x = 2Π .
In[4]:=
Plot@8%3<, 8x, 0, 2 Π<, PlotRange ® 8- 2, 2<D
2
1
Out[4]=
1
2
3
4
-1
-2
Plot Sec(x), blue, and it’
s curvature, red, from x = 0 through x = 2Π.
5
6
2
xx.nb
In[5]:=
Plot@8Sec@xD, %3<, 8x, 0, 2 Π<, PlotRange ® 8- 1.6, 2<D
2.0
1.5
1.0
0.5
Out[5]=
1
-0.5
-1.0
-1.5
2
3
4
5
6