# Math Help - Max Of A Graph

1. ## Max Of A Graph

I have an equation:

$y = \frac{1}{\sqrt{1-2x^2+x^4+4x^2z^2}}$

$x, y$ is a variable and $z$ is a constant which we can vary. This equation produces peaks in graphs. I'm asked to find the maximum value of $z$ at which peak will be produced. Which mathematic method would I use? Can I have hints please. Thanks in advance.

2. I dont see how z can be a constant and a variable. Anyway for finding a maximum you usually differentiate then set the derivative equal to zero and solve that to find maxs and mins. You can use the 2nd derivative to check if it a max or a min found.

3. $z$ is a constant and when different values are assigned to it, it produces different peaks.

As far as I can understand, first find where the peaks occur, and that with respect to z. ( $0=\frac{dy}{dx}=\dots$)