9. [tex]\displaystyle z=3x^2+5x-y^3+1[/tex][tex]\displaystyle z'_x=6x+5[/tex][tex]\displaystyle z'_y=-3y^2[/tex]
10. [tex]\displaystyle z=e^{u/t } = e^{u*t^{-1}}[/tex][tex]\displaystyle z'_u=e^{u/t }*\frac{1}{t} =\frac{e^{u/t}}{t}[/tex][tex]\displaystyle z'_t=e^{u/t }*u*(-1)*t^{-2}=-\frac{e^{u/t}*u}{t^2}[/tex]
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9. [tex]\displaystyle z=3x^2+5x-y^3+1[/tex]
[tex]\displaystyle z'_x=6x+5[/tex]
[tex]\displaystyle z'_y=-3y^2[/tex]
10. [tex]\displaystyle z=e^{u/t } = e^{u*t^{-1}}[/tex]
[tex]\displaystyle z'_u=e^{u/t }*\frac{1}{t} =\frac{e^{u/t}}{t}[/tex]
[tex]\displaystyle z'_t=e^{u/t }*u*(-1)*t^{-2}=-\frac{e^{u/t}*u}{t^2}[/tex]