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Suppose That U and V Are Differentiable Functions and That w=uvw = u \circ v

Question 212

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Suppose that u and v are differentiable functions and that w=uvw = u \circ v and u(0)=1,u ( 0 ) = 1 , v(0)=2v ( 0 ) = 2 u(0)=3,u(2)=4,v(0)=5,v(2)=6u ^ { \prime } ( 0 ) = 3 , u ^ { \prime } ( 2 ) = 4 , v ^ { \prime } ( 0 ) = 5 , v ^ { \prime } ( 2 ) = 6 Find w(0)w ^ { \prime } ( 0 )

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