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Derivative and Graph

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CALCULATOR SECTION
1. For find at the point (3, 4) on the curve.

A. B. C. D. E.

2. Suppose silver is being extracted from a mine at a rate given by , A(t) is measured in tons of silver and t in years from the opening of the mine.

Which is an expression for the amount of silver extracted from the mine in the first 5 years of its opening?

A. B. C. D. E.

3. Joe Student 's calculus test grades (G) are changing at the rate of 2 points per month. Which is the expression that says this?

A. B. C. D. E.

4. If f is a continuous and differentiable function, then approximate the …show more content…

A. Points A and B B. Points A and D C. Points B and D D. Points B and C E. Points A and C

18.

The graph of is shown above, on the interval [ -5, 5] . Which is true?

A. The graph is continuous and differentiable. B. The graph is continuous but not differentiable. C. The graph is not continuous but is differentiable. D. The graph is not continuous nor differentiable.

19. Graph in the plane above, over the window [-1, 8] X [-25, 25].

20. Give the x-interval(s) where the graph of g is increasing. GIVE A REASON for your answer.

21. Give the x-interval(s) where the graph of g is concave up. GIVE A REASON for your answer.

22. Give the x-coordinates of any critical points for the graph of g. For each tell if it is a relative maximum, a relative minimum or neither. EXPLAIN.

23. Give the x-coordinate of any points of inflection of the graph of g.

24. If is the velocity function for a particle moving along the x-axis, for time seconds, tell …

A. when the particle changes direction. for .

B. for what intervals of time () the particle is moving to the left.

C. for what intervals of time

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