3.2: The Mean Value Thomm
Warmup:
g'(x)=
3+
Find all critpts. of $12-9)
第6
3
82-18
*
3
لب اهلل
min
264829
3x
= (2x-3)(2x+3) 2 Git # in domain
3 x 13
/
ONE Q
8:0
0
of
I
X = 1 1/2
Rolle's Thoem: Let f be a function such that:
1. f is continuous on
[ab]
2. f is differentiable on (a,b)
3. f(a) = fcb)
They, there exist a number, c, in a, 6 where c)=0
५
८
Outline of Proof
EVTabs. extrema exist
fexists at these extrema cunless cal point)
So co so. If
occur a
If absolute extreme
the end points, Has is
constant and f'(x)=6
1
fi fi
Warmup:
g'(x)=
3+
Find all critpts. of $12-9)
第6
3
82-18
*
3
لب اهلل
min
264829
3x
= (2x-3)(2x+3) 2 Git # in domain
3 x 13
/
ONE Q
8:0
0
of
I
X = 1 1/2
Rolle's Thoem: Let f be a function such that:
1. f is continuous on
[ab]
2. f is differentiable on (a,b)
3. f(a) = fcb)
They, there exist a number, c, in a, 6 where c)=0
५
८
Outline of Proof
EVTabs. extrema exist
fexists at these extrema cunless cal point)
So co so. If
occur a
If absolute extreme
the end points, Has is
constant and f'(x)=6
1
fi fi
