If z = f ( x , y ), where f is differentiable, and x = g ( t ) y = h ( t ) g ( 3 ) = 2 h ( 3 ) = 7 g ′ ( 3 ) = 5 h ′ ( 3 ) = − 4 f x ( 2 , 7 ) = 6 f y ( 2 , 7 ) = − 8 find dz / dt when t = 3.
If z = f ( x , y ), where f is differentiable, and x = g ( t ) y = h ( t ) g ( 3 ) = 2 h ( 3 ) = 7 g ′ ( 3 ) = 5 h ′ ( 3 ) = − 4 f x ( 2 , 7 ) = 6 f y ( 2 , 7 ) = − 8 find dz / dt when t = 3.
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