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Popular >

f(x)=7(sin(x))^6*cos(x)

Solution

f (x) = 7 (sin (x))^{6} \cdot cos (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - \frac{216}{49 7} \leq f (x) \leq \frac{216}{49 7}

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

Asymptotes : None

Extreme Points : Minimum (2 πn, 0), Maximum (arctan (6) + 2 πn, \frac{216}{49 7}), Minimum (- arctan (6) + π + 2 πn, - \frac{216}{49 7}), Maximum (π + 2 πn, 0), Minimum (arctan (6) + π + 2 πn, - \frac{216}{49 7}), Maximum (- arctan (6) + 2 π + 2 πn, \frac{216}{49 7})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{216}{49 7}, \frac{216}{49 7}]

Solution steps

Periodicity of

7 sin^{6} (x) \cdot cos (x) : 2 π

Domain of

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

Range of

7 sin^{6} (x) \cdot cos (x) : - \frac{216}{49 7} \leq f (x) \leq \frac{216}{49 7}

Axis interception points of

7 sin^{6} (x) \cdot cos (x) :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

7 sin^{6} (x) \cdot cos (x) :

None

Extreme Points of

7 sin^{6} (x) \cdot cos (x) :

Minimum

(2 πn, 0),

Maximum

(arctan (6) + 2 πn, \frac{216}{49 7}),

Minimum

(- arctan (6) + π + 2 πn, - \frac{216}{49 7}),

Maximum

(π + 2 πn, 0),

Minimum

(arctan (6) + π + 2 πn, - \frac{216}{49 7}),

Maximum

(- arctan (6) + 2 π + 2 πn, \frac{216}{49 7})

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=7(sin(x))^6*cos(x) ?
The f(x)=7(sin(x))^6*cos(x) is