en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=cos^{3/2}(x)

Solution

f (x) = cos^{\frac{3}{2}} (x)

Solution

Domain : - \frac{π}{2} + 2 πn \leq x \leq \frac{π}{2} + 2 πn

X Intercepts : (\frac{π}{2} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Maximum (2 πn, cos^{\frac{3}{2}} (2 πn)), Minimum (\frac{π}{2} + 2 πn, cos^{\frac{3}{2}} (\frac{π}{2} + 2 πn)), Minimum (\frac{3 π}{2} + 2 πn, cos^{\frac{3}{2}} (\frac{3 π}{2} + 2 πn))

+1

Solution steps

Domain of

cos^{\frac{3}{2}} (x) : - \frac{π}{2} + 2 πn \leq x \leq \frac{π}{2} + 2 πn

Axis interception points of

cos^{\frac{3}{2}} (x) :

X Intercepts

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

Y Intercepts

: (0, 1)

Asymptotes of

cos^{\frac{3}{2}} (x) :

None

Extreme Points of

cos^{\frac{3}{2}} (x) :

Maximum

(2 πn, cos^{\frac{3}{2}} (2 πn)),

Minimum

(\frac{π}{2} + 2 πn, cos^{\frac{3}{2}} (\frac{π}{2} + 2 πn)),

Minimum

(\frac{3 π}{2} + 2 πn, cos^{\frac{3}{2}} (\frac{3 π}{2} + 2 πn))

Popular Examples

f(x)=sqrt(-x-2+2)

f (x) = - x - 2 + 2

y = 4.5 x + 28

f (t) = t^{2} + t^{4}

y = \frac{x}{4 x - x ^{3}}

f(θ)=(cos(θ))/(sec(θ)-tan(θ))

f (θ) = \frac{cos ( θ )}{sec ( θ ) - tan ( θ )}

Frequently Asked Questions (FAQ)

What is the f(x)=cos^{3/2}(x) ?
The f(x)=cos^{3/2}(x) is