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Popular >

f(x)=cos^4(x)sin^4(x)

Solution

f (x) = cos^{4} (x) sin^{4} (x)

Solution

Period : \frac{π}{2}

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq \frac{1}{16}

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

Asymptotes : None

Extreme Points : Minimum (\frac{π}{2} n, 0), Maximum (\frac{π}{4} + \frac{π}{2} n, \frac{1}{16})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \frac{1}{16}]

Solution steps

Periodicity of

cos^{4} (x) sin^{4} (x) : \frac{π}{2}

Domain of

cos^{4} (x) sin^{4} (x) : - \infty < x < \infty

Range of

cos^{4} (x) sin^{4} (x) : 0 \leq f (x) \leq \frac{1}{16}

Axis interception points of

cos^{4} (x) sin^{4} (x) :

X Intercepts

: (\frac{πn}{2}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

cos^{4} (x) sin^{4} (x) :

None

Extreme Points of

cos^{4} (x) sin^{4} (x) :

Minimum

(\frac{π}{2} n, 0),

Maximum

(\frac{π}{4} + \frac{π}{2} n, \frac{1}{16})

Popular Examples

f(x)=x^3-3x^2+10

f (x) = x^{3} - 3 x^{2} + 10

f (m) = 16 m^{2} - 9

y = \frac{1}{3} x + 8

g(x)=-3/2 (x-2)^2

g (x) = - \frac{3}{2} (x - 2)^{2}

g (y) = - 1

Frequently Asked Questions (FAQ)

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