calculation of a derivative writing a function

I want to maximize the function U with respect to in order to find .

That's I want to take derivative the function U with respect to and then it is equal to zero in order to find .

But I cannot write the code properly. Please help me to do this. Thank you!

Answer 1

[William Rose]

@Zeynep Toprak,

Why will maximizing U with respect to help you find ?

You said you cannot write the code for properly. Do you have a formula for ? Even if you do have the formula for , it will be complicated and nonlinear. When yo set it equal to zero, it will not tell you what is.

If you want a numerical solution for the maximum of U, you don't need to find the point where the derivative equals zero. You can simply use fminsearch() or fminbnd() to minimize . You will need to provide values for the other constants, such as etc.

Answer 2

[Torsten]

Your function does not have local maxima or minima in terms of theta0.

If theta0 is restricted to an interval [theta0min,theta0max], the maximum will be in one of the boundary points.