In[6]:=
Clear@"Global`*"D; $Line = 0;
www.openstudy.com/users/s#/updates/4f7a6322e4b0884e12aa8d25
x
In[1]:=
In[2]:=
I- M
y == ã
2
H4 x - 1L;
-x2
PlotAã
H4 x - 1L, 8x, 0, 14<E
2.5
2.0
1.5
x
J- N
y=ã
2
H4 x - 1L
1.0
0.5
2
4
6
8
-0.5
-1.0
Equate the expression derivative to zero
In[3]:=
Out[3]=
DAã-x2 H- 1 + 4 xL, xE Š 0
4 ã-x2 -
1
ã-x2 H- 1 + 4 xL Š 0
2
and simplify the result.
In[4]:=
Out[4]=
%  Simplify
ã-x2 H- 9 + 4 xL Š 0
9
In[5]:=
Out[5]=
x ==
 N
4
x Š 2.25
10
12
14