1. (1 Point) Problem 1 (Evaluated for justication and written explanation) Suppose you are talking with a friend about a mystery function 3". Your friend tells you that they have forgott- what the original function is, but they know that Vf (3:, y) = (y3, 1:2). Upon hearing this (because you know Y! all about Multivariable Calculus and Clairaut's Theorem), you tell them that they must be mistaken. Expla in a few sentences how you lmow this. A \"Complete\" solution here will explain both what Clairaut's Theorem says, and how it relates to the gradie of this unknown function. Explanation: (Use complete sentences)