You're better off creating it using syms in first place. The short answer is 'No.' MATLAB has no idea what the contents of the function_handle mean in a symbolic sense. If you make it too small, you'll end up in the floating-point. But you can get an approximation (finite difference approximation) by creating a function as follows: f = (x) x.^2 d = 1e-6 df = (x) (f (x+d)-f (x))/d d here determines precision of the approximation.

No, to obtain a derivative function you need to use the Symbolic toolbox. Theme Copy limits = f = (interval) (interval (1):interval (2)) + log (interval (1):interval (2)) f1 = diff (f (limits)) f2 = diff (f1) 6. Note that diff doesn't really give the derivative, but I'll stick to your nomenclature. If you're gonna do this numerically, you need to specify an interval in which to evaluate. function = fminmax (f, lowerbound, upperbound) min = fminbnd (f, lowerbound, upperbound) max = fminbnd. To get the max you could just use the negative of your function handle. You could use the already existing function x = fminbnd (fun, x1, x2) which gives you the min for a function handle fun in the range of x1 and x2.

For a given function in analytical form, you can evaluate the derivative at a desired point with the following code: syms x df = diff (x^2) df3 = subs (df, 'x', 3) fprintf ('f'' (3)=%f ', df3) For pure numerical derivatives use the already given solutions by Jonas and posdef.

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