Problem 15. Give an example of a function f:R2→R that is continuous at 0 , whose directional derivatives f(0;u) exist fo
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Problem 15. Give an example of a function f:R2→R that is continuous at 0 , whose directional derivatives f(0;u) exist fo
Problem 15. Give an example of a function f:R2→R that is continuous at 0 , whose directional derivatives f(0;u) exist for all u∈R2 but is not differentiable at 0 . Prove all your claims.
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