[See Solution] Do analytically and exactly showing all steps. Find (d y)/(d x) for the implicitly defined curve 3^x^2 y=2 x^3 y^2-3 Find the exact slope m of

Question: Do analytically and exactly showing all steps.

Find $\frac{d y}{d x}$ for the implicitly defined curve
\[3^{x^{2} y}=2 x^{3} y^{2}-3\]
Find the exact slope $m$ of the tangent line at the point on the curve $\left(\frac{1}{3}, 9\right)$.
Give the exact equation of the tangent line.

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[See Solution] Do analytically and exactly showing all steps. Find (d y)/(d x) for the implicitly defined curve 3^x^2 y=2 x^3 y^2-3 Find the exact slope m of

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