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Popular Calculus >

f(x)=cos(x)+sin(x)

Solution

f (x) = cos (x) + sin (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 2 \leq f (x) \leq 2

X Intercepts : (\frac{3 π}{4} + 2 πn, 0), (\frac{7 π}{4} + 2 πn, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Maximum (\frac{π}{4} + 2 πn, 2), Minimum (\frac{5 π}{4} + 2 πn, - 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, 2]

Solution steps

Periodicity of

cos (x) + sin (x) : 2 π

Domain of

cos (x) + sin (x) : - \infty < x < \infty

Range of

cos (x) + sin (x) : - 2 \leq f (x) \leq 2

Axis interception points of

cos (x) + sin (x) :

X Intercepts

: (\frac{3 π}{4} + 2 πn, 0), (\frac{7 π}{4} + 2 πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

cos (x) + sin (x) :

None

Extreme Points of

cos (x) + sin (x) :

Maximum

(\frac{π}{4} + 2 πn, 2),

Minimum

(\frac{5 π}{4} + 2 πn, - 2)

Graph

Popular Examples

(\partial)/(\partial y)(4xy+3)

tangent of y=12xsin(x),(pi/2 ,6pi)

integral from 0 to pi/2 of (cos(x))^3

tangent of y= 3/x ,(-5,-3/5)

derivative of sqrt(-x^2+4)

Frequently Asked Questions (FAQ)

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