Suppose the quantitiesxx,yy,zzandttsatisfyz=f(x,y),x=g(t),andy=h(t).z=f(x,y),x=g(t),andy=h(t).Giveng(6)=2,g(6)=1,g(6)=2,g(6)=1,h(6)=3,h(6)=3,h(6)=3,h(6)=3,fx(2,3)=3andfy(2,3)=1,fx(2,3)=3andfy(2,3)=1,computedzdtdzdtatt=6t=6.

Suppose the quantities x , y , z and t satisfy z = f(x, y), x = g(t), and y = h(t). Given g (6) = -2, 9 (6) = -1, h(6) = 3, h' ( 6) = -3, fac (-2, 3) = 3 and fy ( - 2, 3 ) = 1, dz compute at t = 6. dt