What is the extreme f(x)=cos(x)-x ?

The extreme f(x)=cos(x)-x is Saddle((3pi)/2+2pin,cos((3pi)/2+2pin)-(3pi)/2-2pin)

Popular >

extreme f(x)=cos(x)-x

extreme points

f (x) = cos (x) - x

Saddle (\frac{3 π}{2} + 2 πn, cos (\frac{3 π}{2} + 2 πn) - \frac{3 π}{2} - 2 πn)

Solution steps

Find the critical points:

x = \frac{3 π}{2} + 2 πn

Domain of

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

Find intervals:

Decreasing

: 2 πn \leq x < \frac{3 π}{2} + 2 πn,

Decreasing

: \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

Plug the extreme point

x = \frac{3 π}{2} + 2 πn

into

cos (x) - x \Rightarrow y = cos (\frac{3 π}{2} + 2 πn) - \frac{3 π}{2} - 2 πn

Saddle (\frac{3 π}{2} + 2 πn, cos (\frac{3 π}{2} + 2 πn) - \frac{3 π}{2} - 2 πn)

f (x, y) = x + y + 1

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

f (x) = \frac{x ^{3}}{3} - x^{2} - 3 x

f (x) = \frac{2 x}{x ^{2} - 9}

f (x, y) = y^{3} + 3 x^{2} y - 6 x^{2} - 6 y^{2} + 2

What is the extreme f(x)=cos(x)-x ?
The extreme f(x)=cos(x)-x is Saddle((3pi)/2+2pin,cos((3pi)/2+2pin)-(3pi)/2-2pin)