"
"
"
 f x0 " Df
"´>0"x"(x f(x) > f(x0).
0-´,x0+´)
f x0 " Df
"´>0"x"(x f(x) < f(x0).
0-´,x0+´)
f x0
f (x0) = 0.
f(x) = x3 x0 = 0 f (x0) = 0
f
f (x0) = 0
f (x) x x0
f x0
f(x) = x3 - 3x2 + 4
g(x) = ex + e-x
ln x
h(x) =
x
f
f (x0) = 0
f (x0) > 0 (f (x0) < 0)
f x0
f(x) = sin3 x + cos3 x
g(x) = (x - 5)ex
 f A ‚" Df x0
f(x) = 3x4 - 8x3 - 18x2, [-1, 2]
g(x) = x3 ln x3, [1, 2]
e
h(x) = 2 sin x + cos 2x, [0, 2Ä„]
200 cm2
1 cm
2 cm
R
V = 250Ä„ cm3
m
R = 10 m vb = 5
s
m
vp = 1
s
Ä…
1
d = 2R sin Ä…
2
² l = ²R
(a, b)
"a1
(a, b)
"a1
 f (x) > 0 x " (a, b) f (a, b)
f (x) < 0 x " (a, b) f (a, b)
f(x) = e-x
g(x) = x4
h(x) = sin x
s(x) = arctan x
f x0 (x0, f(x0))
f ´ > 0
f (x0-´, x0) (x0, x0+´)
f x0
f (x0) = 0.
f
f (x0) = 0
f (x) x x0
f x0
1
f(x) = 4x2 +
x
g(x) = ecos x
h(x) = x2 ln x
"
3
s(x) = 1 - x3