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1. What is the slope of the line tangent to the curve x2 + 2xy + 3y2 = 2 when y = 1?
2. dx =
3. If, for t > 0, x = t2 and y = cos(t2), then =
4. The function f(x) = 4x3 – 8x2 + 1 on the interval [-1, 1] has an absolute minimum at x =
6. (x2 sin2 x) =
7. The line normal to the curve y = at x = 2 has slope
The graph of y = f(x) is shown above. Which of the following could be the graph of y = f′(x)?