en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

y=cosh^2(6x)+1/2 cosh(12x)

Solution

y = cosh^{2} (6 x) + \frac{1}{2} cosh (12 x)

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{3}{2}

Y Intercepts : (0, \frac{3}{2})

Asymptotes : None

Extreme Points : Minimum (0, \frac{3}{2})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{3}{2}, \infty)

Solution steps

Domain of

cosh^{2} (6 x) + \frac{1}{2} cosh (12 x) : - \infty < x < \infty

Range of

cosh^{2} (6 x) + \frac{1}{2} cosh (12 x) : f (x) \geq \frac{3}{2}

Axis interception points of

cosh^{2} (6 x) + \frac{1}{2} cosh (12 x) :

Y Intercepts

: (0, \frac{3}{2})

Asymptotes of

cosh^{2} (6 x) + \frac{1}{2} cosh (12 x) :

None

Extreme Points of

cosh^{2} (6 x) + \frac{1}{2} cosh (12 x) :

Minimum

(0, \frac{3}{2})

Graph

Popular Examples

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

f(x)=x^3-x^2-12x+3

f(x)=[1+sin^5(x^9)]^6

Frequently Asked Questions (FAQ)

What is the y=cosh^2(6x)+1/2 cosh(12x) ?
The y=cosh^2(6x)+1/2 cosh(12x) is