Odpovědi ke cvičení
(sh x)' = ch x, (ch x)' = sh x, (th x)' =
ch2 x
= i — th2 x.
ar sh x = ln(x + y/i + x2'); ar ch x = ln(x + V*2 — i'); ar th x (arshx)' = (arch^)' = -^;(arthx)' =
3 [x=T — x+l] *
2        I—K
3/20    . 1/4
2/5
X-2    '   X+2        X+3'
\A , _    4/5     , 9^5
(x+2)2 _ 1/108 I
x—3 i/5
X+2 l/l08
' x+3
i/5 x2+4
j£____
x— 1 3x2+x+i*
x-3' 1/36
1/36
(x-3)2 (x+3)2
x2+9*
I X+2
X+I \
Ad 4 Ad 5. Ad 6.
Ad 7- 3 \(x-if      x-i + X2+X+I j
A4 9   í (_í___*±2_\ _ I . X+2_
AUO-9\x-i      x2+x+ij      3 (x2+x+i)2-
Ad 10.
X i _I 2vT 2
X
2V21
x2 + v^x +1    x2 — VTx + 1'