zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的函数 >

y=2(csc(x)+sec(x))

解答

y = 2 (csc (x) + sec (x))

解答

Period : 2 π

Domain : 2 πn < x < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < π + 2 πn or π + 2 πn < x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

Range : - \infty < f (x) < \infty

X 截距 : (\frac{3 π}{4} + 2 πn, 0), (\frac{7 π}{4} + 2 πn, 0)

Asymptotes : 垂直 x = 2 πn, x = \frac{3 π}{2} + 2 πn, x = \frac{π}{2} + 2 πn, x = π + 2 πn

Extreme Points : 极小值 (\frac{π}{4} + 2 πn, 42), 极大值 (\frac{5 π}{4} + 2 πn, - 42)

+1

间隔符号

Domain : (2 πn, \frac{π}{2} + 2 πn) \cup (\frac{π}{2} + 2 πn, π + 2 πn) \cup (π + 2 πn, \frac{3 π}{2} + 2 πn) \cup (\frac{3 π}{2} + 2 πn, 2 π + 2 πn)

Range : (- \infty, \infty)

求解步骤

2 (csc (x) + sec (x))

的周期:

2 π

2 (csc (x) + sec (x))

的定义域

: 2 πn < x < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < π + 2 πn or π + 2 πn < x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

2 (csc (x) + sec (x))

的值域:

- \infty < f (x) < \infty

2 (csc (x) + sec (x))

的轴截距点

:

X 截距

: (\frac{3 π}{4} + 2 πn, 0), (\frac{7 π}{4} + 2 πn, 0)

2 (csc (x) + sec (x))

的渐近线

:

垂直

: x = 2 πn, x = \frac{3 π}{2} + 2 πn, x = \frac{π}{2} + 2 πn, x = π + 2 πn

2 (csc (x) + sec (x))

的极值点:

极小值

(\frac{π}{4} + 2 πn, 42),

极大值

(\frac{5 π}{4} + 2 πn, - 42)

作图

流行的例子

f (x) = ln (x - 1) + 3

f(x)=sqrt(\sqrt{x)-1}

f (x) = x - 1

f(x)=(3x^2-2x+1)(3x+5)

f (x) = (3 x^{2} - 2 x + 1) (3 x + 5)

f(x)=(sqrt(x-1))/(x^3-27)

f (x) = \frac{x - 1}{x ^{3} - 27}

f(x)=sqrt((1+cos(x))/2)

f (x) = \frac{1 + cos ( x )}{2}