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Popular >

f(x)=cos^6(x)

Solution

f (x) = cos^{6} (x)

Solution

Period : π

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq 1

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

Asymptotes : None

Extreme Points : Maximum (πn, 1), Minimum (\frac{π}{2} + πn, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 1]

Solution steps

Periodicity of

cos^{6} (x) : π

Domain of

cos^{6} (x) : - \infty < x < \infty

Range of

cos^{6} (x) : 0 \leq f (x) \leq 1

Axis interception points of

cos^{6} (x) :

X Intercepts

: (\frac{π}{2} + πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

cos^{6} (x) :

None

Extreme Points of

cos^{6} (x) :

Maximum

(πn, 1),

Minimum

(\frac{π}{2} + πn, 0)

Popular Examples

limit as x approaches 4 of x(x+5)(x+6)

x \to 4 lim (x (x + 5) (x + 6))

(d^4)/(dx^4)(3ln(x))

\frac{d ^{4}}{d x ^{4}} (3 ln (x))

(\partial)/(\partial x)((x^2+y^2)^6)

\frac{\partial}{\partial x} ((x^{2} + y^{2})^{6})

limit as x approaches 5 of 3

x \to 5 lim (3)

(xdy)/(dx)-y=3x^4

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

Frequently Asked Questions (FAQ)

What is the f(x)=cos^6(x) ?
The f(x)=cos^6(x) is