Thread: Max Of A Graph

I have an equation:



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

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.

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

EDIT: Like a gradient.

Hello,

As far as I can understand, first find where the peaks occur, and that with respect to z. ( )

Then find z so that the values of the peaks is maximum.