Differentiation without symbolic toolbox. Is it possible numerically?
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Suppose I have a function
x = 0:0.1:10;
fxy = @(x,y) x^3 +3*x*y^2 + 2*x
I want differentiate w.r.t 'x'
dfxy = @(y)diff(fxy,1)
and then I want to solve for 'y' for 'dfxy(y) = 0'
y0 = 0.1;
yy = fsolve(dfxy,y0)
is this possible without using symbolic toolbox? I get error like 'Function 'diff' is not supported for class 'function_handle'.'