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Popular >

f(x)=4cos^2(x)

Solution

f (x) = 4 cos^{2} (x)

Solution

Period : π

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq 4

X Intercepts : (\frac{π}{2} + πn, 0), Y Intercepts : (0, 4)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 4]

Solution steps

Periodicity of

4 cos^{2} (x) : π

Domain of

4 cos^{2} (x) : - \infty < x < \infty

Range of

4 cos^{2} (x) : 0 \leq f (x) \leq 4

Axis interception points of

4 cos^{2} (x) :

X Intercepts

: (\frac{π}{2} + πn, 0),

Y Intercepts

: (0, 4)

Asymptotes of

4 cos^{2} (x) :

None

Extreme Points of

4 cos^{2} (x) :

Maximum

(πn, 4),

Minimum

(\frac{π}{2} + πn, 0)

Popular Examples

(\partial)/(\partial x)(2xy-x^2y)

\frac{\partial}{\partial x} (2 x y - x^{2} y)

integral of 32x^3-15x^2+10x

\int 32 x^{3} - 15 x^{2} + 10 x d x

implicit x+1/y =2 implicit derivative

x + \frac{1}{y} = 2

integral of (2x-3)/((x-1)^2)

\int \frac{2 x - 3}{( x - 1 ) ^{2}} d x

area x^2-6,x area

x^{2} - 6, x

Frequently Asked Questions (FAQ)

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