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e$)$ Any rules necessary$)m(x)=ln(\frac{sin(6x^3)}{2x{e}^{4x}})$

Question $4)$ Find the equation of the tangent line of $2x^3{y}^2=x^{2}y$ at the point $(-1,-1)($Hint: Use implicit differentiation to find the derivative$)(4$ points$)$

Question $5)$ Find $f^{\text{'}}(x)$ if $f(x)=co{s}^{-1}(8x^3).$ Does the derivative exist at $(\frac{1}{2},0)?$ Justify. $($Note: Do not just look up the derivative of the inverse cosine function; explicitly solve for your answer$)(4$ points$)$