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Popular >

f(x)=tan(8x)

Solution

f (x) = tan (8 x)

Solution

Period : \frac{π}{8}

Domain : \frac{π}{8} n \leq x < \frac{π}{16} + \frac{π}{8} n or \frac{π}{16} + \frac{π}{8} n < x < \frac{π}{8} + \frac{π}{8} n

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

X Intercepts : (\frac{πn}{8}, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = \frac{π}{16} + \frac{π}{8} n

Extreme Points : None

+1

Interval Notation

Domain : [\frac{π}{8} n, \frac{π}{16} + \frac{π}{8} n) \cup (\frac{π}{16} + \frac{π}{8} n, \frac{π}{8} + \frac{π}{8} n)

Range : (- \infty, \infty)

Solution steps

Periodicity of

tan (8 x) : \frac{π}{8}

Domain of

tan (8 x) : \frac{π}{8} n \leq x < \frac{π}{16} + \frac{π}{8} n or \frac{π}{16} + \frac{π}{8} n < x < \frac{π}{8} + \frac{π}{8} n

Range of

tan (8 x) : - \infty < f (x) < \infty

Axis interception points of

tan (8 x) :

X Intercepts

: (\frac{πn}{8}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

tan (8 x) :

Vertical

: x = \frac{π}{16} + \frac{π}{8} n

Extreme Points of

tan (8 x) :

None

Popular Examples

integral of 1/((x^2+4)(x+2))

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

limit as t approaches 0 of tan(7t)

t \to 0 lim (tan (7 t))

(\partial)/(\partial x)(10x^5y^4e^{-x})

\frac{\partial}{\partial x} (10 x^{5} y^{4} e^{- x})

derivative of e^{log_{3}(x})

\frac{d}{d x} (e^{l o g_{3} (x)})

(\partial)/(\partial x)(r^2cos^2(x))

\frac{\partial}{\partial x} (r^{2} cos^{2} (x))

Frequently Asked Questions (FAQ)

What is the f(x)=tan(8x) ?
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