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\noindent {\bf Problem statement} Suppose $\displaystyle {g(t)= Q (t^3,t^5)}$.  Suppose you also know that

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$$
Q(1,1)=A\,;\ 
Q_x(1,1)=B\,;\  
Q_y=C\,;\  
Q_{xx}(1,1)=D\,;\  
Q_{xy}(1,1)=E\,;\  
Q_{yy}(1,1)=F$$

\noindent where the subscripts indicate partial derivatives.  
Compute the quantities
$g(1)$, $g'(1)$, and $g''(1)$ 
in terms of $A$, $B$, $C$, $D$, and $E$.









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