z4−y2+x2=6x2y3z7
Taking partial derivate w.r.t x both side for z (y will be treated as constant)
4z3∂x∂z−0+2x=12xy3z7+42x2y3z6∂x∂z⇒∂x∂z=4z3−42x2y3z612xy3z7
Taking partial derivate w.r.t y both side for z (x will be treated as constant)
4z3∂y∂z−2y+0=18x2y2z7+42x2y3z6∂y∂z⇒∂y∂z=4z3−18x2y2z712xy3z7
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