MATH 140 INSTRUCTIONS . You must show all work for each problem MULTIPLE CHOICE Select the best answer choice. Write your answer choices below: (1) _____ (2) _____ (3) _____ (4) _____ (5) _____ (1) _____ Match the graph of the function to the graph of its derivative. A) B) 1) _______ C) D) (2) _____ Find y ' ( x ) given (A) y ' ( x )=4 x 330 x 64 x4 (B) y ' ( x )=4 x 330 x5 4 x 4 (C) y ' ( x )=4 x 330 x5 4 x 6 (D) ' 4 5 6 y ( x )=x 6 x +5 x (E) None of the above 4 y ( x )=x 45 x 6+ x 5 +7. 5 (3) _____ Express the derivative (A) dy =5 ( x +1 )4 dx ( B ) dy =5 1 2 +1 dx 2x 4 ( C ) dy =5 1 2 +1 dx 2x 4 ( ( ( D) )( ) 1 x3 ) dy 1 = dx 2 x 3 ( E ) None of the above dy /dx in terms of x if y=( u+1 )5 and u=1 / ( 2 x 2 ) . (4) _____ Find f ' ( x ) given f ( x )= 1+ 1+ x2 (A) 1 /2 1/ 2 x ( 1+ ( 1+ x2 ) ) 2 (B ) 1 /2 1 /2 1/ 2 1 ( 1+ ( 1+ x 2 ) ) ( 1+ x 2 ) 2 (C) 1/ 2 x 2 1/ 2 2 1 /2 ( 1+ ( 1+x ) ) ( 1+x ) 2 1 /2 1 /2 ( D ) x ( 1+ ( 1+ x 2 ) ( E) ) ( 1+ x2 ) None of the above 1 /2 (5) _____ Find the equation of the tangent line to the curve ( A ) y=x ( B ) y =x ( C ) y=x +1 ( D) y= cos ( x+ y ) y xcos ( x + y ) of the above (E ) sin ( x+ y )=xy at the origin