- #1

- 4

- 0

tough one

find all critical points of

f(x, y)=e^x(1-cos y)

and classify these critical points.

find all critical points of

f(x, y)=e^x(1-cos y)

and classify these critical points.

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter dexza666
- Start date

- #1

- 4

- 0

tough one

find all critical points of

f(x, y)=e^x(1-cos y)

and classify these critical points.

find all critical points of

f(x, y)=e^x(1-cos y)

and classify these critical points.

- #2

Gib Z

Homework Helper

- 3,346

- 6

- #3

- 4

- 0

\\

\\\frac{\partial f}{\partial x} = e^x(1-\cos y),\ \ \frac{\partial f}{\partial y} = e^x\sin y

\\

\\ e^x(1-\cos y) = 0

\\ \cos y = 1

\\ y = 2k\pi,\ k\in\mathbb{Z}

\\

\\ e^x\sin y = 0

\\ \sin y = 0

\\ y = k\pi,\ k\in\mathbb{Z}

\\

\\\mbox{critical points along the lines }\ y = 2k\pi,\ k\in\mathbb{Z}

\\\mbox{which coincidentaly, is also the lines at which f(x,y) = 0}

\\

is this right

- #4

Gib Z

Homework Helper

- 3,346

- 6

- #5

- 4

- 0

- #6

Gib Z

Homework Helper

- 3,346

- 6

- #7

HallsofIvy

Science Advisor

Homework Helper

- 41,847

- 966

I also want to point out that

1) this is clearly homework

2) you showed NO attempt to do this in your original post.

Share: