Derivative and Graph
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 value of .
A. 4.5 B. 4 C. 2 D. 1/2 E. 1/4
5. . Over the open interval (0, 0.7], at what value of x is the tangent line to f horizontal? A. 0.390 B. 0.555 C. 0.368 D. 0.567 D. 0.195
6. At which x-value over the interval (0, 2] does the graph of f have a relative minimum? (refer to f ' in #5) A. 1.938 B. 1.146 C. 0.368 D. 1.571 E. 0.567
7. At which x-coordinate below does the graph of f (for f ' defined in #5) change concavity over the interval (0, 2]? A. 1.938 B. 1.146 C. 0.667 D. 1.571 E. 0.567
8. At which interval is the graph of f (for f ' defined in #5) concave up over the interval (0, 0.8]? A. (0, 0.8) B. (0.368, 0.785) C. (0, 0.368) D. (0.368, 0.8)
9. Given over (0, 1.5] give the x-coordinate where the graph of changes concavity.
10. Given over (0, 4] give the x-coordinate(s) where the line(s) tangent to are horizontal.
11.
A. 0.203 B. 0.422 C. 0.003 D. 0.020 E. 1.041
12. The graph of a twice-differentiable function is shown below.
Which of the following is true?
A. B. C. D. E.
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 value of .
A. 4.5 B. 4 C. 2 D. 1/2 E. 1/4
5. . Over the open interval (0, 0.7], at what value of x is the tangent line to f horizontal? A. 0.390 B. 0.555 C. 0.368 D. 0.567 D. 0.195
6. At which x-value over the interval (0, 2] does the graph of f have a relative minimum? (refer to f ' in #5) A. 1.938 B. 1.146 C. 0.368 D. 1.571 E. 0.567
7. At which x-coordinate below does the graph of f (for f ' defined in #5) change concavity over the interval (0, 2]? A. 1.938 B. 1.146 C. 0.667 D. 1.571 E. 0.567
8. At which interval is the graph of f (for f ' defined in #5) concave up over the interval (0, 0.8]? A. (0, 0.8) B. (0.368, 0.785) C. (0, 0.368) D. (0.368, 0.8)
9. Given over (0, 1.5] give the x-coordinate where the graph of changes concavity.
10. Given over (0, 4] give the x-coordinate(s) where the line(s) tangent to are horizontal.
11.
A. 0.203 B. 0.422 C. 0.003 D. 0.020 E. 1.041
12. The graph of a twice-differentiable function is shown below.
Which of the following is true?
A. B. C. D. E.