Current Score : 22 / 25 Due : Sunday, April 20 2014 12:05 PM EDT

1. 1/1 points | Previous Answers SCalcET7 2.8.001.

Use the given graph of to sketch the graph of f '.

Section 2.8 QUIZ (Quiz)Frances CoronelMAT 151 Calculus I, Spring 2014, section 01, Spring 2014Instructor: Ira Walker

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f(x)

2. 1/4 points | Previous Answers SCalcET7 2.8.003.MI.

The graphs of four derivatives are given below. Match the graph of each function in (a)-(d) with the graph of its derivative in I-IV.

I II III IV

(a) III (b) II

(c) I (d) IV

Master ItThe graphs of four derivatives are given below. Match the graph of each function in (a)-(d) with the graph of its derivative in I-IV.

I II

III IV

(a) (b)

(c) (d)

Part 1 of 5The derivative represents the slope of the tangent to the function. Only one of the function graphs (a)-(d) has just one horizontal tangent.This is graph (No Response) .

3. 1/1 points | Previous Answers SCalcET7 2.8.004.

Trace or copy the graph of the given function f. (Assume that the axes have equal scales.) Then use the method of this example to sketchthe graph of f ' below it.

4. 1/1 points | Previous Answers SCalcET7 2.8.005.

Trace or copy the graph of the given function f. (Assume that the axes have equal scales.) Then use the method of this example to sketchthe graph of f ' below it.

5. 1/1 points | Previous Answers SCalcET7 2.8.006.

Trace or copy the graph of the given function f. (Assume that the axes have equal scales.) Then use the method of this example to sketchthe graph of f ' below it.

6. 1/1 points | Previous Answers SCalcET7 2.8.008.

Trace or copy the graph of the given function f. (Assume that the axes have equal scales.) Then use the method of this example to sketchthe graph of f ' below it.

7. 1/1 points | Previous Answers SCalcET7 2.8.010.

Trace or copy the graph of the given function f. (Assume that the axes have equal scales.) Then use the method of this example to sketchthe graph of f ' below it.

8. 1/1 points | Previous Answers SCalcET7 2.8.011.

Trace or copy the graph of the given function f. (Assume that the axes have equal scales.) Then use the method of this example to sketchthe graph of f ' below it.

9. 11/11 points | Previous Answers SCalcET7 2.8.020.

Let f(x) = x3.

(a) Estimate the values of by using a graphing device to zoom in on the graph of f. (Round

your answers to one decimal place.)

= 0

= .75

= 12

= 27

= 48

f '(0), f ' , f '(2), f '(3), and f '(4)12

f '(0)

f ' 12

f '(2)

f '(3)

f '(4)

(b) Use symmetry to deduce the values of . (Round your answers to one decimal place.)

= .75

= 12

= 27

= 48

(c) Use the values from parts (a) and (b) to graph f '.

(d) Guess a formula for f '(x).

f ' , f '(−2), f '(−3), and f '(−4)−12

f ' −12

f '(−2)

f '(−3)

f '(−4)

f '(x) = 3x

f '(x) = 3x + 2

f '(x) = x4

4

f '(x) = 3x2

10.3/3 points | Previous Answers SCalcET7 2.8.021.MI.

Find the derivative of the function using the definition of derivative.

State the domain of the function, f(x). (Enter your answer in interval notation.)

State the domain of its derivative, (Enter your answer in interval notation.)

Master ItFind the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative.

Part 1 of 4To find the derivative of the function, we will use the formula

For we have

f(x) = x − 15

14

f '(x) =

f '(x).

f(x) = x − 14

17

f '(x) = .lim h→0

f(x + h) − f(x)h

f(x) = x − ,14

17

f '(x) =

=

lim h→0

(No Response) − − x −

h

14

17

14

17

lim h→0

(No Response) hh