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Let z=exsinyz = e ^ { x } \sin y , and Let

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Let z=exsinyz = e ^ { x } \sin y , and let xx and yy be functions of SS and tt with x(0,0) =0,y(0,0) =0x ( 0,0 ) = 0 , y ( 0,0 ) = 0 , δx/δs=3\delta x / \delta s = 3 , and δy/δs=4\delta y / \delta s = 4 at (s,t) =(0,0) ( s , t ) = ( 0,0 ) . Find δz/δ s \delta z /\delta\text { s } when (s,t) =(0,0) ( s , t ) = ( 0,0 ) .


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