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plotting - Plot a function after taking the supremum with respect to one variable


Assume given a continuous function f with 2 variables, say x and y. x takes values on the interval I and y takes values on the interval J. I would like to know how to plot the function g(y):=supx∈If(x,y) using Mathematica. For example, f(x,y)=eysin(x2) with x∈[0,1],y∈[0,1]. Many thanks.




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