1 Математический анализ 1 семестр ЗО

0

$$\infty$$

1

e

$$e$$

$$\frac{1}{e}$$

$$-e$$

1

1

0

$$\infty$$

- 1

$$y'=-\frac{x}{\sqrt{1-x^2}}$$

$$y'=\frac{x}{\sqrt{1-x^2}}$$

$$y'=\arcsin x$$

$$y'=-2x\ \cdot\arcsin x$$

$$y'=-\frac{2x}{\sqrt{1-x^2}}$$

$$y'=-\frac{1\ }{x\ln^2x}$$

$$y'=-\frac{1}{\ln^2x}$$

$$y'=-\frac{1}{x}\ln\ln x$$

$$y'=-\frac{1}{x}$$

$$tg\ \angle\ BAD$$

$$\angle\ BAD$$

$$BD$$

$$tg\ \angle\ CAD$$

$$AB$$

$$-\frac{1}{2x^2}$$

$$-\frac{2}{x^2}$$

$$-\frac{3}{x^4}$$

$$-\frac{1}{4x^4}$$

$$\int_0^1\ \frac{1}{x}dx$$

$$\int_0^1\frac{1}{x-2}dx$$

$$\int_0^1\frac{1}{\sqrt{1-x^2}}dx$$

$$\int_0^1\frac{1}{\sqrt{1+x^2}}dx$$

3

2

4

5

$$\frac{4}{3}$$

$$\frac{8}{3}$$

$$\frac{2}{3}$$

$$3$$