11 x1 t16 06 derivative times function
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dxxfxf n
cnxfdxxfxf
nn
1
1
dxxfxf n
cnxfdxxfxf
nn
1
1
31 Find a) e.g. xdxdi
dxxfxf n
cnxfdxxfxf
nn
1
1
31 Find a) e.g. xdxdi
3
2
221
33
123
31211
xx
xxxdxd
dxxfxf n
dxx
x 3
2
1 find; Hence b)
dxx
x 3
2
1 find; Hence b)
dxx
xdxx
x3
2
3
2
123
32
1
dxx
x 3
2
1 find; Hence b)
dxx
xdxx
x3
2
3
2
123
32
1
cx 3132
dxx
x 3
2
1 find; Hence b)
dxx
xdxx
x3
2
3
2
123
32
1
cx 3132
dxxxii 22
dxx
x 3
2
1 find; Hence b)
dxx
xdxx
x3
2
3
2
123
32
1
cx 3132
dxxxii 22
dxxx 222 21
dxx
x 3
2
1 find; Hence b)
dxx
xdxx
x3
2
3
2
123
32
1
cx 3132
dxxxii 22
dxxx 222 21
cx 23
2232
21
dxx
x 3
2
1 find; Hence b)
dxx
xdxx
x3
2
3
2
123
32
1
cx 3132
dxxxii 22
dxxx 222 21
cx 23
2232
21
cxx 22 2231
dxx
x 3
2
1 find; Hence b)
dxx
xdxx
x3
2
3
2
123
32
1
cx 3132
dxxxii 22
dxxx 222 21
cx 23
2232
21
cxx 22 2231
OR dxxx 22
dxx
x 3
2
1 find; Hence b)
dxx
xdxx
x3
2
3
2
123
32
1
cx 3132
dxxxii 22
dxxx 222 21
cx 23
2232
21
cxx 22 2231
OR dxxx 22 22 xu
dxx
x 3
2
1 find; Hence b)
dxx
xdxx
x3
2
3
2
123
32
1
cx 3132
dxxxii 22
dxxx 222 21
cx 23
2232
21
cxx 22 2231
OR dxxx 22 22 xu
xdxdu
xdxdu
2
2
dxx
x 3
2
1 find; Hence b)
dxx
xdxx
x3
2
3
2
123
32
1
cx 3132
dxxxii 22
dxxx 222 21
cx 23
2232
21
cxx 22 2231
OR dxxx 22 22 xu
xdxdu
xdxdu
2
2
u
dxx
x 3
2
1 find; Hence b)
dxx
xdxx
x3
2
3
2
123
32
1
cx 3132
dxxxii 22
dxxx 222 21
cx 23
2232
21
cxx 22 2231
OR dxxx 22 22 xu
xdxdu
xdxdu
2
2
udu
21
dxx
x 3
2
1 find; Hence b)
dxx
xdxx
x3
2
3
2
123
32
1
cx 3132
dxxxii 22
dxxx 222 21
cx 23
2232
21
cxx 22 2231
OR dxxx 22 22 xu
xdxdu
xdxdu
2
2
udu
21
duu 21
21
dxx
x 3
2
1 find; Hence b)
dxx
xdxx
x3
2
3
2
123
32
1
cx 3132
dxxxii 22
dxxx 222 21
cx 23
2232
21
cxx 22 2231
OR dxxx 22 22 xu
xdxdu
xdxdu
2
2
udu
21
duu 21
21
cu 23
32
21
dxx
x 3
2
1 find; Hence b)
dxx
xdxx
x3
2
3
2
123
32
1
cx 3132
dxxxii 22
dxxx 222 21
cx 23
2232
21
cxx 22 2231
OR dxxx 22 22 xu
xdxdu
xdxdu
2
2
udu
21
duu 21
21
cu 23
32
21
cxx 22 2231
1
033
2
2dx
xxiii
1
033
2
2dx
xxiii
1
033
2
23
31 dx
xx
1
033
2
2dx
xxiii
1
033
2
23
31 dx
xx
1
0
332 2331 dxxx
1
033
2
2dx
xxiii
1
033
2
23
31 dx
xx
1
0
332 2331 dxxx
1 0 23 261
x
1
033
2
2dx
xxiii
1
033
2
23
31 dx
xx
1
0
332 2331 dxxx
1 0 23 261
x
81
21
11
61
22
1
033
2
2dx
xxiii
1
033
2
23
31 dx
xx
1
0
332 2331 dxxx
1 0 23 261
x
81
21
11
61
22
OR
1
033
2
2dx
xx
1
033
2
2dx
xxiii
1
033
2
23
31 dx
xx
1
0
332 2331 dxxx
1 0 23 261
x
81
21
11
61
22
OR
1
033
2
2dx
xx
dxxduxu
2
3
32
1
033
2
2dx
xxiii
1
033
2
23
31 dx
xx
1
0
332 2331 dxxx
1 0 23 261
x
81
21
11
61
22
OR
1
033
2
2dx
xx
dxxduxu
2
3
32
1,12,0
uxux
1
033
2
2dx
xxiii
1
033
2
23
31 dx
xx
1
0
332 2331 dxxx
1 0 23 261
x
81
21
11
61
22
OR
1
033
2
2dx
xx
dxxduxu
2
3
32
1,12,0
uxux
1
2
3
31 duu
1
033
2
2dx
xxiii
1
033
2
23
31 dx
xx
1
0
332 2331 dxxx
1 0 23 261
x
81
21
11
61
22
OR
1
033
2
2dx
xx
dxxduxu
2
3
32
1,12,0
uxux
1
2
3
31 duu
12
2
61
u
1
033
2
2dx
xxiii
1
033
2
23
31 dx
xx
1
0
332 2331 dxxx
1 0 23 261
x
81
21
11
61
22
OR
1
033
2
2dx
xx
dxxduxu
2
3
32
1,12,0
uxux
1
2
3
31 duu
12
2
61
u
81
21
11
61
22
1
033
2
2dx
xxiii
1
033
2
23
31 dx
xx
1
0
332 2331 dxxx
1 0 23 261
x
81
21
11
61
22
Exercise 11H; 1, 3, 5, 7ace etc, 8bdf,9 11*
OR
1
033
2
2dx
xx
dxxduxu
2
3
32
1,12,0
uxux
1
2
3
31 duu
12
2
61
u
81
21
11
61
22
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