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Popular >

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{π}{4} + 2 πn, 0), (\frac{5 π}{4} + 2 πn, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Minimum (\frac{3 π}{4} + 2 πn, - 2), Maximum (\frac{7 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{π}{4} + 2 πn, 0), (\frac{5 π}{4} + 2 πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

cos (x) - sin (x) :

None

Extreme Points of

cos (x) - sin (x) :

Minimum

(\frac{3 π}{4} + 2 πn, - 2),

Maximum

(\frac{7 π}{4} + 2 πn, 2)

Graph

Popular Examples

sum from n=0 to infinity of (2n)/n x^n

n = 0 \sum \infty \frac{2 n}{n} x^{n}

(\partial)/(\partial x)(e^xsin(y+z)-z)

\frac{\partial}{\partial x} (e^{x} sin (y + z) - z)

limit as x approaches 4 of 3-2

x \to 4 lim (3 - 2)

f (x) = 4 - x

integral of ((sec(x)+cos(x)))/(5cos(x))

\int \frac{( sec ( x ) + cos ( x ) )}{5 cos ( x )} d x

Frequently Asked Questions (FAQ)

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