f(x) = ax, , .
y = a x, a > 1 | y = a x, 0< a < 1 | |
2. | ||
3. | x > 0, a x >1 | x > 0, 0< a x < 1 |
x < 0, 0< a x < 1 | x < 0, a x >1 | |
4. , . | , ( ). | |
5.. | R | R |
6. . | . | |
7. | O x . |
8. . .
, , (f(x) = a). = log x, , > 0, ≠ 1.
:
a > 1 | 0 < a < 1 | |
D(f) | (0; ) | |
E(f) | ( ; ) | |
, | , | |
y = 0 x = 1 | ||
y > 0 x (1; ) y < 0 x (0;1) | y > 0 x (0;1) y < 0 x (1; ) | |
x (0; ) | c | |
x = 0 |
9.
. . = arcsin x, x ϵ (1; 1) y = arctg x, x ϵ (∞; +∞).
, . : 1) (sin x) (cos x) 2) (tg x) (ctg x) 3) (sec x) (cosec x)
: - . :
. . sinx, cosx, secx, cosecx 2π, tgx ctgx c π.
, : : :
y=sinx.
y=cosx.
y=tgx.
y=ctgx.
y=arcsinx, xϵ(-1,1) y=arctgx, xϵ(-π/2;π/2).
10. ; . .
|
|
. , , , . , , .
, , .
, P, (1 + i). P, P(1 + i), P(1 + i)2, P(1 + i)3, , P(1 + i)n, n k 1 (n = k - 1).
( ) , (1 + i)n - .
11.