Study Guide 2 F_13

Study Guide 2 F_13 - Math 116 Fall 2013 Study Guide Part 2...

Info iconThis preview shows pages 1–8. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 116 Fall 2013 Study Guide - Part 2 1. Which of the following describes the derivative function f ° ( x ) of a quadratic function f ( x )? (A) Cubic (B) Quadratic (C) Linear (D) Constant (E) None of these 2. Find the derivative of the function f ( x )= x 3 12 x 2 + x 2 + 1. 3. Find the derivative of the function g ( x 10 x 2 + 6 x 7 .
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
4. Find the derivative of the function h ( x )= 5 4 x . 5. Explain the relationship between the slope and the derivative of f ( x ) at x = a . Choose the correct answer below. (A) The derivative of f ( x ) at x = a describes the rate of change for the slope of the function at x = a . (B) The derivative of f ( x ) at x = a equals the slope of the function at x = a . (C) The slope of the function at x = a describes the rate of change for the derivative of f ( x ) at x = a . (D) The derivative of f ( x ) at x = a is unrelated to the slope of the function at x = a . (E) None of these. 6. Assume that a demand equation is given by q = 9000 100 p . Find the marginal revenue for the production level q = 3000 units. The marginal revenue at 3000 units is (A) less than 25 (B) between 25 and 50 (C) between 50 and 75 (D) between 75 and 100 (E) more than 100
Background image of page 2
7. Use the product rule to fnd the derivative oF the Function f ( x )=(5 x 2 + 2)(5 x 2). 8. Use the quotient rule to fnd the derivative oF the Function g ( x )= x 2 4 x +1 x 2 +7 . 9. ±ind the derivative oF the Function h ( x (4 x 2 + 4)(5 x + 2) 9 x 5 .
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
10. Suppose that f ( x ) and g ( x ) are diferentiable Functions such that f (2) = 1, f ° (2) = 6, g (2) = 4, and g ° (2) = 9. ±ind h ° (2) when h ( x )= f ( x ) · g ( x ). (A) 15 (B) 33 (C) 54 (D) 58 (E) None oF these 11. The total cost (in hundreds oF dollars) to produce x units oF a product is C ( x 2 x 1 6 x +7 . Answer parts (i) and (ii) (i) ±ind the average cost For 40 units. The average cost is (A) less than $0.50 per unit (B) between $0.50 and $1.00 per unit (C) between $1.00 and $1.50 per unit (D) between $1.50 and $2.00 per unit (E) more than $2.00 per unit (ii) ±ind C ° ( x ), the marginal average cost Function.
Background image of page 4
12. A company that makes bicycles has determined that a new employee can assemble M ( d )= 104 d 2 5 d 2 +6 bicycles per day after d days of on-the-job training. Answer parts (i) and (ii) (i) Find the rate of change function for the number of bicycles assembled with respect to time. (ii) Find and interpret M ° (2). Choose the correct interpretation. (A) After 2 days on the job, the new employee can assemble about 3.7 more bikes than the day before. (B) After 2 days on the job, the new employee can assemble 3.7 bikes/day. (C) After 2 days on the job, the new employee needs to learn to assemble 3.7 more bikes/day. (D) None of these.
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
13. Let f ( x )= x + 2 and g ( x ) = 18 x 2 11. Find f ( g ( x )). (A) f ( g ( x )) = 18 x + 25 (B) f ( g ( x )) = 3 x 2+3 (C) f ( g ( x )) = (18 x 2 11) x +2 (D) f ( g ( x )) = ° 18 x 2 9 (E) None of these 14. Write the function y =(9 x 2 ) 1 / 3 as a composition of two functions. 15. Find the derivative of the function f ( x ) = 47(9 x 3 8) 3 / 2 .
Background image of page 6
16. Find the derivative of the function f ( x )=(5 x + 1) 5 (4 x + 1) 2 .
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 8
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 28

Study Guide 2 F_13 - Math 116 Fall 2013 Study Guide Part 2...

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online