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What is the derivative of the function f(x)= max(u(x),v(x)) ?
where u(x) and v(x) are two given function
where u(x) and v(x) are two given function
Office_Shredder said:Try looking at the two cases when u(x)>v(x) and when v(x)>u(x)
AlephZero said:That is a good place to start, but max(u(x),v(x)) can be differentiable when u(x) and v(x) are not even continuous.
For example
u(x) = 0 when x is rational, u(x) = 1 otherwise
v(x) = 1 when x is rational , v(x) = 0 otherwise