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Popular Calculus >

f(x)=cos(7x)

Solution

f (x) = cos (7 x)

Solution

Period : \frac{2 π}{7}

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{π}{14} + \frac{2 πn}{7}, 0), (\frac{3 π}{14} + \frac{2 πn}{7}, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Maximum (\frac{2 π}{7} n, 1), Minimum (\frac{π}{7} + \frac{2 π}{7} n, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

cos (7 x) : \frac{2 π}{7}

Domain of

cos (7 x) : - \infty < x < \infty

Range of

cos (7 x) : - 1 \leq f (x) \leq 1

Axis interception points of

cos (7 x) :

X Intercepts

: (\frac{π}{14} + \frac{2 πn}{7}, 0), (\frac{3 π}{14} + \frac{2 πn}{7}, 0),

Y Intercepts

: (0, 1)

Asymptotes of

cos (7 x) :

None

Extreme Points of

cos (7 x) :

Maximum

(\frac{2 π}{7} n, 1),

Minimum

(\frac{π}{7} + \frac{2 π}{7} n, - 1)

Graph

Popular Examples

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\frac{x ^{2}}{5 ( 1 - x )}

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\frac{d}{d x} (cos (x t))

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x \to 0.5 lim (f (x))

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\int_{1}^{5} \frac{2}{x ^{3}} d x

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\frac{d}{d x} (\frac{2 e ^{x} - x ^{5}}{1 - 3 x ^{5}})

Frequently Asked Questions (FAQ)

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