- знак дроби √ - корень...

July 2022 1 12 Report

пожалуйста помогите решить
Вычислите производные y:
y=arccosx / √ x ,
y=arcsin √ x/x+1

/ - знак дроби
√ - корень

Answers & Comments

NNNLLL54

Verified answer

$1)\; \; y=\frac{arccosx}{\sqrt{x}}\\\\y'= \frac{ -\frac{1}{\sqrt{1-x^2}}\cdot \sqrt{x}-arccosx\cdot \frac{1}{2\sqrt{x}}}{x}=\frac{-2x-arccosx\, \cdot \sqrt{1-x^2}}{2x\cdot \sqrt{x\cdot (1-x^2)}}$

$2)\; \; y=arcsin \frac{\sqrt{x}}{x+1}\\\\y'= \frac{1}{\sqrt{1-\frac{x}{(x+1)^2}}}\cdot \frac{\frac{1}{2\sqrt{x}}\cdot (x+1)-\sqrt{x}}{(x+1)^2}=\frac{x+1}{\sqrt{x^2+x+1}}\cdot \frac{x+1-2x}{2\sqrt{x}\cdot (x+1)^2}=\\\\=\frac{x+1}{\sqrt{x^2+x-1}}\cdot \frac{1-x}{2\sqrt{x}\cdot (x+1)^2} = \frac{1-x^2}{2(x+1)^2\cdot \sqrt{x(x^2+x+1)}}$

1 votes Thanks 1

Answers & Comments

Verified answer

cherta drobi53b95ffb914f4aba52b1fdeaca3d09be 24731

kakie organizmy samostoyatelno sozdayut pitatelnye veshestva iz neorganicheskih 1d64a3c361a0d35d154f82eebdf96ba98 56209

zhivotnye sposobny ispolzuya energiyu solnca sozdavat iz neorganicheskih veshes

kto 250 mln let nazad spravilsya s zadachej biosinteza vodoroda bogomoly vodnye

sravnite ispolzovanie lesnyh resursov v ssha i v rossii

v treugolnike abc ugol c90 gradusovac2bc2 kornya iz 15najti cos a

reshiteneravenstvo1 73 xbolsheliboravno 3x2 4x 3 bolsheliboravno 9

reshit uravneniex 62 7 x2

pi najdite dlinu ego okruzhnostif42ca74173ef6e7d69a28975e08a5ea4 71435

postrojte grafik funkcij y 3x26x 4

рекомендуемые вопросы

Helpful Links

Helpful Social