Chapter
12
Differentiation
-
en
,Chapter 12 -
Differentiation
function:
Gradient
we* m 3
=
x
y
=
-
For a carve
the gradient
changes.
at x -
3 -
2-10/23
gradient -
6 -4 -
20246
it be double
appears to 2 2x
=
, Y
(5,25:
m
=
by
-
11
-
...
=
The smaller the numbers ·
5.01, 25.1001
detta the ·
you use the in /
5,25
more
you can see
gradint
the
lending
it's towards.
M =
Dy
-
-XL2
m = 00 10.01
=
0.0
x)
y gradint=lin (2th)
=
-Lin
+2hxth-
↳
.......,(x ,((+)) -Lim h
+
24x +
4
(x,x)
0
↳
-
⑧
?
-him
2x+h
n - 0
for = 2x
=
y =x
, imby means 'limitas a lends
Formula: to 0.
The
gradient function
f(x)
=
or I derivative,
of the curre
y
written
is as fix or
fix) hof(+) 59)
-
=
f(x) x
=
f(x) him(f(x h) f())
=
+
-
4 - 0
h
-(2) - ↳
-Lim s 3xh +
+ 3xh h x)
+
-
4-0 h
him
-
3x + 3xchth2 3x2
=
h0
12
Differentiation
-
en
,Chapter 12 -
Differentiation
function:
Gradient
we* m 3
=
x
y
=
-
For a carve
the gradient
changes.
at x -
3 -
2-10/23
gradient -
6 -4 -
20246
it be double
appears to 2 2x
=
, Y
(5,25:
m
=
by
-
11
-
...
=
The smaller the numbers ·
5.01, 25.1001
detta the ·
you use the in /
5,25
more
you can see
gradint
the
lending
it's towards.
M =
Dy
-
-XL2
m = 00 10.01
=
0.0
x)
y gradint=lin (2th)
=
-Lin
+2hxth-
↳
.......,(x ,((+)) -Lim h
+
24x +
4
(x,x)
0
↳
-
⑧
?
-him
2x+h
n - 0
for = 2x
=
y =x
, imby means 'limitas a lends
Formula: to 0.
The
gradient function
f(x)
=
or I derivative,
of the curre
y
written
is as fix or
fix) hof(+) 59)
-
=
f(x) x
=
f(x) him(f(x h) f())
=
+
-
4 - 0
h
-(2) - ↳
-Lim s 3xh +
+ 3xh h x)
+
-
4-0 h
him
-
3x + 3xchth2 3x2
=
h0