What is the f(x)=\sqrt[4]{cos(x)}*sin(x) ?

The f(x)=\sqrt[4]{cos(x)}*sin(x) is

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f(x)=\sqrt[4]{cos(x)}*sin(x)

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), (2 πn, 0), Y Intercepts : (0, 0)

Asymptotes : None

Interval Notation

Domain : [- \frac{π}{2} + 2 πn, \frac{π}{2} + 2 πn]

Solution steps

Domain of

Axis interception points of

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

None

Extreme Points of

Minimum

(0, 0),

Maximum

Minimum

y = - 5 x^{3} - 5 x^{2} + 280 x

f (x) = 2 x^{2} + 7 x - 15

y = 2 sin (x) cos (x)

y = 11 x + 6