. :
_______
m = Ö [PD2] / n, D i fi, - 1 / ni 1/ L i, n i - ; Li - , n - N.
:
_________ _________
m = Ö [f 2 / n] / N m = Ö [f 2 / L] / N,
N - .
12
, .
| N | f h, | , n | f h2 / n |
| +32 | |||
| + 2 | |||
| - 21 | |||
| + 6 | |||
| + 8 | |||
| - 12 | |||
| - 31 | |||
| +15 | |||
, = 1 / n, :
_____
m = m = Ö 49 / 8 = 2.5
, 1 10 , 1 :
m = m×Ö10, m = 2.5×Ö10 = 7.2 .
19
.
| L, | f h, | |
| +18 | ||
| - 14 | ||
| +24 | ||
| +30 | ||
| +34 |
.
20
.
| fp ¢ | ||
| - 2.5 | ||
| +4.8 | ||
| - 0.5 | ||
| - 2.8 | ||
| +3.0 | ||
| +5.2 |
21
.
| f ¢¢ | f ¢¢ | ||
| +10 | +2 | ||
| - 9 | - 8 | ||
| - 5 | +6 | ||
| +2 | +6 |
0.5 , , 0.5 , .
0.5 , .
: 15.458 15.46; 22.144 22.14; 36.655 36.66.
.
|
|
|
: 28,3 . 0,00422 . 0,06005 . 2500,0 , .
25643 26000, , ; - 26103.
D = - l, - , l - .
. 3,14 . 3,14159 , D = 0,0016 () .
0.0016/3.14 = 1/2000.
sin x x - x3/6; cos x 1 - x2/2; tg x x + x3/x;
_____
Ö a2 + x a + x/2 a; lx 1 + x; ln(1 + x) x;
( + b +... + t)¢ =
= ' + b' +... + t'.
(uv)' =u¢ v + v¢u.
(u / v)¢ = (u¢v - v¢u) / v2.
y = f (u) u = j (x),
y¢ =f ¢(u) × j¢(x) y / x = (y / u) × (u / x).
| y = f (x) | y¢ = f¢ (x) | y = f (x) | y¢ = f¢ (x) |
| a = const | ex | ex | |
| a + x | ln x | 1/x | |
| xn | n×xn - 1 | sin x | cos x |
| axn | an×xn - 1 | cos x | - sin x |
| Öx | 1 / 2Öx | tg x | 1 / cos2x |
| n __ Öx | n ____ 1 / nÖxn - 1 | ctg x | - 1 / sin2x |
| 1 / x | - 1 / x2 | eu | eu u¢ |
| 1 / xn | - n / xn + 1 | au | au u¢ |
| ax | ax ln a | ln u | u¢ / u |
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