10 questions

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1. tan^{2}(4x) =

2. What is the equation of the line tangent to the graph of y = sin^{2}x at x = ?

3. If the function f(x) = is differentiable for all real values of x, then b =

4. The graph of y = x^{4} + 8x^{3} - 72x^{2} + 4 is concave down for

5.

6.

The graph of f(x) is shown in the figure above. Which of the following could be the graph of f′(x) ?

7. If f(x) = ln(cos(3x)), then f′(x) =

8. If f(x) = , then f′(-4) =

9. A particle moves along the x-axis so that its position at time t, in seconds, is given by x(t) = t^{2} - 7t + 6. For what value(s) of t is the velocity of the particle zero?

10. =