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[Solution Library] Let f: R^2 \rightarrow R be given by f(x, y)=x^2+y and g: R \rightarrow R by g(u)= sin (3 u). Let h: R^2 \rightarrow R be given by h(x, y)=g(f(x,

Question: Let $f: \mathbb{R}^{2} \rightarrow \mathbb{R}$ be given by $f(x, y)=x^{2}+y$ and $g: \mathbb{R} \rightarrow \mathbb{R}$ by $g(u)=\sin (3 u)$. Let $h: \mathbb{R}^{2} \rightarrow \mathbb{R}$ be given by $h(x, y)=g(f(x, y))$. Compute D $h(1,1)$ directly and by using the Chain Rule.

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[Solution Library] Let f: R^2 \rightarrow R be given by f(x, y)=x^2+y and g: R \rightarrow R by g(u)= sin (3 u). Let h: R^2 \rightarrow R be given by h(x, y)=g(f(x,

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