What is the extreme f(x)=4x+4sin(x) ?

The extreme f(x)=4x+4sin(x) is Saddle(pi+2pin,4(pi+2pin)+4sin(pi+2pin))

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extreme f(x)=4x+4sin(x)

extreme points

f (x) = 4 x + 4 sin (x)

Saddle (π + 2 πn, 4 (π + 2 πn) + 4 sin (π + 2 πn))

Solution steps

Find the critical points:

x = π + 2 πn

Domain of

4 x + 4 sin (x) : - \infty < x < \infty

Find intervals:

Increasing

: 2 πn \leq x < π + 2 πn,

Increasing

: π + 2 πn < x < 2 π + 2 πn

Plug the extreme point

x = π + 2 πn

into

4 x + 4 sin (x) \Rightarrow y = 4 (π + 2 πn) + 4 sin (π + 2 πn)

Saddle (π + 2 πn, 4 (π + 2 πn) + 4 sin (π + 2 πn))

t, x = 2 w

f (x) = x^{\frac{2}{9}} (2 x + 11)

\frac{- x ^{6} - 5 x ^{3} + 5 x}{x ^{2} + 2}

f (x) = x^{3} - 3 x^{2} - 9 x + 1, - 2 \leq x \leq 2

f (x) = x ln (8 x), (0, \infty)

What is the extreme f(x)=4x+4sin(x) ?
The extreme f(x)=4x+4sin(x) is Saddle(pi+2pin,4(pi+2pin)+4sin(pi+2pin))