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Popular >

f(x)=tan(3x)

Solution

f (x) = tan (3 x)

Solution

Period : \frac{π}{3}

Domain : \frac{π}{3} n \leq x < \frac{π}{6} + \frac{π}{3} n or \frac{π}{6} + \frac{π}{3} n < x < \frac{π}{3} + \frac{π}{3} n

Range : - \infty < f (x) < \infty

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

Asymptotes : Vertical x = \frac{π}{6} + \frac{π}{3} n

Extreme Points : None

+1

Interval Notation

Domain : [\frac{π}{3} n, \frac{π}{6} + \frac{π}{3} n) \cup (\frac{π}{6} + \frac{π}{3} n, \frac{π}{3} + \frac{π}{3} n)

Range : (- \infty, \infty)

Solution steps

Periodicity of

tan (3 x) : \frac{π}{3}

Domain of

tan (3 x) : \frac{π}{3} n \leq x < \frac{π}{6} + \frac{π}{3} n or \frac{π}{6} + \frac{π}{3} n < x < \frac{π}{3} + \frac{π}{3} n

Range of

tan (3 x) : - \infty < f (x) < \infty

Axis interception points of

tan (3 x) :

X Intercepts

: (\frac{πn}{3}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

tan (3 x) :

Vertical

: x = \frac{π}{6} + \frac{π}{3} n

Extreme Points of

tan (3 x) :

None

Popular Examples

derivative of-0.9x^2+1.7x+2.5

\frac{d}{d x} (- 0.9 x^{2} + 1.7 x + 2.5)

integral of x^3arcsin(1/x)

\int x^{3} arcsin (\frac{1}{x}) d x

(\partial)/(\partial x)(y^3-x^2y)

\frac{\partial}{\partial x} (y^{3} - x^{2} y)

derivative of f(x)=8x^9-3x^6+12x^3 derivative of

f (x) = 8 x^{9} - 3 x^{6} + 12 x^{3}

area y=4x-x^2,y=0 area

y = 4 x - x^{2}, y = 0

Frequently Asked Questions (FAQ)

What is the f(x)=tan(3x) ?
The f(x)=tan(3x) is