"
f (2) f(x) = 4x + 1 f (-1) f(x) = -2x3 + 5x
1 1
f (1) f(x) = f (2) f(x) = x +
x+1 x
x0 = 0
1 1
x sin dla x = 0 x2 sin dla x = 0

x x
f(x) = f(x) = x·|x| f(x) =
0 dla x = 0 0 dla x = 0
x2 + x + 1 dla x e" 1
f(x) = x0 = 1
3x2 dla x < 1
1
xarctg dla x = 0

x
f(x) = x0 = 0
0 dla x = 0
f(x) = 1 - e-x2 x0 = 0
-2x2 + 3x + 1 dla x d" 1
f (1) f(x) =
x2 - 3x + 4 dla x > 1
-x2 + x dla x d" 2
f (2) f(x) =
x2 - 7x + 8 dla x > 2
0 dla x > 0
f (0) f(x) =
x(x + 1)2 dla x d" 0
x2 + 4x - 4 dla x < 3
f (3) f(x) =
5x + 2 dla x e" 3
xarctgx dla x = 0

f (0) f(x) =
0 dla x = 0
a, b a, b, c d f R
sin x dla x < 0
f(x) =
ax2 + bx dla x e" 0
Å„Å‚
ax + b dla x d" 0
òÅ‚
f(x) = cx2 + dx dla x " (0, 1]
ół
1
1 - dla x > 1
x
f : R R
Å„Å‚
ax + 1 dla x < -2
òÅ‚
f(x) = 3 - x dla x " [-2, 3) .
ół
x2 + x + b dla x e" 3
 R
R
f (0) f(x) = |x|3
f-1
f(x) = ctgx x " [0, Ä„] y = ex
R
R
arctgx
ln(1 + x) > x e" 0
1+x
1
2 ln x < x - x > 1
x
2
f(x) = x3 x0 = 0
4x = x2
f(x) = ln x
x0 = 1
y = x2 P1 P2 x1 = 1 x2 = 3
g(x) = x6 -x5 -6x4 +x2 -x-6
g (x) = 0 [-2, 3]
130
w(x) = 2x5 - x3 +
3
360x + 5 (-2, 2)
f(x) = x2 + x - 6 c " (-3, 2)
f (c) = 0
ln(0, 96) e2,97
e2 0, 001
1
-x
1 1
limx+"(cos )x limx+"(x)e limx0(cos x)x2
x
1
x 1
y = y = x ln (e + ) y = xarctgx + 3x y = (x + 1) ln (2x+1)
arctgx x x+1
1
2x
y = xarcctgx + 2x y = x ln
x-2
2 3
-1 -1
3 9 4
-1 -3
a " R b = 1 a = -1, b = 0, c = 1, d = -1
a = 2, b = -12 R
-1 1
1+y2 y
16
" 3 Ä„R3 h = 4R
r = R 2
2
Ä… = 2(1 - )Ä„
3
y = x - 1
(2, 4)
-0, 04 0, 97e3
15cm2
n = 4
1
1 1 e- 2
2 2
+" y = x -" y = -Ä„ x
Ä„
1
x = -1 y = x + +" -"
e e
Ä„
x = 0 y = x +" y = -Ä„ x
2 2
-"
1
x = -1 y = (x + 1) ln 2 - +"
2 2
-"
x = 0 y = 2 +" y = Ä„x + 2
-"
x = 2 y = x ln 2 + 2 +" -"