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Popular >

f(x)=arctan(cos(x))

Solution

f (x) = arctan (cos (x))

Solution

Domain : - \infty < x < \infty

Range : - \frac{π}{4} \leq f (x) \leq \frac{π}{4}

Y Intercepts : (0, \frac{π}{4})

Asymptotes : None

Extreme Points : Maximum (2 πn, arctan (cos (2 πn))), Minimum (π + 2 πn, arctan (cos (π + 2 πn)))

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{π}{4}, \frac{π}{4}]

Solution steps

Domain of

arctan (cos (x)) : - \infty < x < \infty

Range of

arctan (cos (x)) : - \frac{π}{4} \leq f (x) \leq \frac{π}{4}

Axis interception points of

arctan (cos (x)) :

Y Intercepts

: (0, \frac{π}{4})

Asymptotes of

arctan (cos (x)) :

None

Extreme Points of

arctan (cos (x)) :

Maximum

(2 πn, arctan (cos (2 πn))),

Minimum

(π + 2 πn, arctan (cos (π + 2 πn)))

Popular Examples

derivative of 4x^6-3x^5-10x^2+5x+16

\frac{d}{d x} (4 x^{6} - 3 x^{5} - 10 x^{2} + 5 x + 16)

limit as x approaches 3 of 6

x \to 3 lim (6)

(1+e^x)yy^'=e^x

(1 + e^{x}) y y^{^{'}} = e^{x}

derivative of 36e^{-6x}

\frac{d}{d x} (36 e^{- 6 x})

derivative of (y-sqrt(x)^{1/2})

\frac{d}{d x} ((y - x)^{\frac{1}{2}})

Frequently Asked Questions (FAQ)

What is the f(x)=arctan(cos(x)) ?
The f(x)=arctan(cos(x)) is