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Popular >

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

Solution

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

Solution

Period : \frac{π}{4}

Domain : \frac{π}{4} n \leq x < \frac{π}{8} + \frac{π}{4} n or \frac{π}{8} + \frac{π}{4} n < x < \frac{π}{4} + \frac{π}{4} n

Range : f (x) \geq 1

Y Intercepts : (0, 1)

Asymptotes : Vertical x = \frac{π}{8} + \frac{π}{4} n

Extreme Points : Minimum (\frac{π}{4} n, 1)

+1

Interval Notation

Domain : [\frac{π}{4} n, \frac{π}{8} + \frac{π}{4} n) \cup (\frac{π}{8} + \frac{π}{4} n, \frac{π}{4} + \frac{π}{4} n)

Range : [1, \infty)

Solution steps

Periodicity of

sec^{2} (4 x) : \frac{π}{4}

Domain of

sec^{2} (4 x) : \frac{π}{4} n \leq x < \frac{π}{8} + \frac{π}{4} n or \frac{π}{8} + \frac{π}{4} n < x < \frac{π}{4} + \frac{π}{4} n

Range of

sec^{2} (4 x) : f (x) \geq 1

Axis interception points of

sec^{2} (4 x) :

Y Intercepts

: (0, 1)

Asymptotes of

sec^{2} (4 x) :

Vertical

: x = \frac{π}{8} + \frac{π}{4} n

Extreme Points of

sec^{2} (4 x) :

Minimum

(\frac{π}{4} n, 1)

Popular Examples

f(x)=sinh^2(5x)

f (x) = sinh^{2} (5 x)

y = - \frac{5}{3} x - 1

y = - \frac{5}{3} x - 6

f (x) = 2 x^{3} + 6

derivative of 4cos^2(x-4cos(x)+1)

\frac{d}{d x} (4 cos^{2} (x) - 4 cos (x) + 1)

Frequently Asked Questions (FAQ)

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