MATH 141 Midterm: MATH141 South Carolina 141 95 2 nospace
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In problem 10 you must use the de nition of the derivative; in the other problems you may use any legitimate derivative rule. Circle your answer: (10 points the penalty for each mistake is four points. ) The picture represents the graph of y = f (x) . Find dy dx : (7 points) let y = Find dy dx : (7 points) let 4xy2 + sin(xy) = 3y2 + 6x2 . Find dy dx : (7 points) let y = qsin2(4x2 + 3x + 19) + cos3(x) . Find dy dx : (8 points) a cube is growing at the constant rate of 1000 cubic inches per second. How fast is each edge growing when each edge is 5 inches long: (7 points) find the equation of the line tangent to y = 3x5 + 4x + 2 when x = 1 .
