What is the extreme y=7x+7sin(x) ?

The extreme y=7x+7sin(x) is Saddle(pi+2pin,7(pi+2pin)+7sin(pi+2pin))

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extreme y=7x+7sin(x)

extreme points

y = 7 x + 7 sin (x)

Saddle (π + 2 πn, 7 (π + 2 πn) + 7 sin (π + 2 πn))

Solution steps

Find the critical points:

x = π + 2 πn

Domain of

7 x + 7 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

7 x + 7 sin (x) \Rightarrow y = 7 (π + 2 πn) + 7 sin (π + 2 πn)

Saddle (π + 2 πn, 7 (π + 2 πn) + 7 sin (π + 2 πn))

f (x) = 4 x^{2} + 3 x^{2} - 6 x + 1

\frac{4 x + 13}{- 2 x - 6}

y = x^{4} - 12 x^{3} + 48 x^{2} - 64 x

f (x, y) = x^{2} + x y + 2 x + 5 y - 1

0.01 x^{3} - 0.45 x^{2} + 2 x + 300

What is the extreme y=7x+7sin(x) ?
The extreme y=7x+7sin(x) is Saddle(pi+2pin,7(pi+2pin)+7sin(pi+2pin))