x^2+1?...

July 2022 1 1 Report

Помогите пожалуйста!
Найдите производную функций:
1.y=(x^2+2x+4)*(x-2)?
2. y= cosx*ctgx?
3.y=x^2 / 3-4x?
4. y=x / x^2+1?

Answers & Comments

mailforazi 1) $y'=(2x+2)(x-2)+(x^2+2x+4)= \\ \\ =2x^2-4x+2x-4+x^2+2x+4=3x^2$

-------------------------------------------------------------

2) $y= cosx\frac{cosx}{sinx} = \frac{cos^2x}{sinx} = \frac{1-sin^2x}{sinx} = \frac{1}{sinx}-sinx \\ \\ y'= -\frac{cosx}{sin^2x}-cosx =-cosx(1+ \frac{1}{sin^2x})$

-------------------------------------------------------------

3) $y= \frac{x^2}{3-4x} \\ \\ y'= \frac{2x(3-4x)+4x^2}{(3-4x)^2} = \frac{6x-8x^2-4x^2}{(3-4x)^2} = \frac{6x(1-2x)}{(3-4x)^2}$

-------------------------------------------------------------

4) $y= \frac{x}{x^2+1} \\ \\ y'= \frac{(x^2+1)-2x*x}{(x^2+1)^2} = \frac{x^2+1-2x^2}{(x^2+1)^2} = \frac{1-x^2}{(x^2+1)^2}$

Answers & Comments

2...

2;0]...

pomogite pozhalujstakakuyu massu shestiatomnogo spirta sorbita mozhno poluchit pri

pomogite pozhalujsta izmenenie sily toka v antenne radioperedatchika proishodit

perevedite pozhalujsta36d8d023497303b4908bf77eef1766a4 1760

cos^2 (5x)...

pomogitepozhalujstav pravilnoj chetyrehugolnoj piramide sabcd v kotoroj av2

pomogite pozhalujstakak dokazat chto vinograd soderzhit glyukozu sostavit plan

pomogite pozhalujsta 1 radius osnovaniya cilindra raven 35 a vysota 6 otrezki

pomogite pozhalujsta vychislit ploshad figury ogranichennoj liniyami y0 x4 y2c24dfd942fc96c03e98de39e895f11f 92395

рекомендуемые вопросы

Helpful Links

Helpful Social