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Popular >

y=(-tan(x)+1)/(3tan^3(x))

Solution

y = \frac{- tan ( x ) + 1}{3 tan ^{3} ( x )}

Solution

Period : π

Domain : πn < x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < π + πn

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

X Intercepts : (\frac{π}{4} + πn, 0)

Asymptotes : Vertical x = πn

Extreme Points : Minimum (arctan (\frac{3}{2}) + πn, - \frac{4}{81})

+1

Interval Notation

Domain : (πn, \frac{π}{2} + πn) \cup (\frac{π}{2} + πn, π + πn)

Range : (- \infty, \infty)

Solution steps

Periodicity of

\frac{- tan ( x ) + 1}{3 tan ^{3} ( x )} : π

Domain of

\frac{- tan ( x ) + 1}{3 tan ^{3} ( x )} : πn < x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < π + πn

Range of

\frac{- tan ( x ) + 1}{3 tan ^{3} ( x )} : - \infty < f (x) < \infty

Axis interception points of

\frac{- tan ( x ) + 1}{3 tan ^{3} ( x )} :

X Intercepts

: (\frac{π}{4} + πn, 0)

Asymptotes of

\frac{- tan ( x ) + 1}{3 tan ^{3} ( x )} :

Vertical

: x = πn

Extreme Points of

\frac{- tan ( x ) + 1}{3 tan ^{3} ( x )} :

Minimum

(arctan (\frac{3}{2}) + πn, - \frac{4}{81})

Popular Examples

y=((2x+1))/((sqrt(4x-3)))

y = \frac{( 2 x + 1 )}{( 4 x - 3 )}

p(x)=-x^2+90x-425

p (x) = - x^{2} + 90 x - 425

f(x)=x^3+8x^2-3x-10

f (x) = x^{3} + 8 x^{2} - 3 x - 10

f(x)=x^3-2x^2-x+3

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

y = x^{2} + 3 x - 40

Frequently Asked Questions (FAQ)

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