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Popular >

y=tan^2(5x)

Solution

y = tan^{2} (5 x)

Solution

Period : \frac{π}{5}

Domain : \frac{π}{5} n \leq x < \frac{π}{10} + \frac{π}{5} n or \frac{π}{10} + \frac{π}{5} n < x < \frac{π}{5} + \frac{π}{5} n

Range : f (x) \geq 0

X Intercepts : (\frac{πn}{5}, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = \frac{π}{10} + \frac{π}{5} n

Extreme Points : Minimum (\frac{π}{5} n, 0)

+1

Solution steps

Periodicity of

tan^{2} (5 x) : \frac{π}{5}

Domain of

tan^{2} (5 x) : \frac{π}{5} n \leq x < \frac{π}{10} + \frac{π}{5} n or \frac{π}{10} + \frac{π}{5} n < x < \frac{π}{5} + \frac{π}{5} n

Range of

tan^{2} (5 x) : f (x) \geq 0

Axis interception points of

tan^{2} (5 x) :

X Intercepts

: (\frac{πn}{5}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

tan^{2} (5 x) :

Vertical

: x = \frac{π}{10} + \frac{π}{5} n

Extreme Points of

tan^{2} (5 x) :

Minimum

(\frac{π}{5} n, 0)

Popular Examples

f(x)=5x^2+10x+4

f (x) = 5 x^{2} + 10 x + 4

y = (x + 8) (x + 6)

f(x)=log_{2}(x+2)+1

f (x) = lo g_{2} (x + 2) + 1

f (x) = \frac{1}{1 - 1}

y = (2 x) (3 x^{3})

Frequently Asked Questions (FAQ)

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