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Multivariable CalculusSuperchallengeThe Chain Rule & Implicit Differentiation

The Chain Rule & Implicit Differentiation · Superchallenge problem

The equation ey+y=1+xe^y + y = 1 + x defines yy as a smooth function of xx with y(0)=0y(0) = 0. Find y′′′(0)y^{\prime\prime\prime}(0), the third derivative at 00.