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1. If g(x) = x^{4} - 5x^{2}, find g′(4).

2.

3. is

4. If f(x) = , find f′(x).

5. Evaluate .

6.

7. Find k so that f(x) = is continuous for all x.

8. Which of the following integrals correctly gives the area of the region consisting of all points above the x-axis and below the curve y = 8 + 2x - x^{2} ?

9. If f(x) = x^{2} cos 2x, find f′(x).

10. An equation of the line tangent to y = 4x^{3} - 7x^{2} at x = 3 is