menu
bartleby
search
close search
Hit Return to see all results

2. In class, we matched functions to their derivatives. We will do that again, and match someproperties too. Consider these four functions and their derivatives you matched earlier.f(r)f'()(i)2(A)-3123-3 -2 -1-112-2-21f(r)f(r)(ii)(B)1332-1212-3 -2 -1-1-22fr)f(x)(C)(ii)2-3:3 -212-22f'(r)f(r)(D)(iv)12-3 -2 -1-3 -2/ -1121(b) Determine which of the four properties corresponds to the functions above. Note thatf"(x) is interpreted as the derivative of the derivative of f(x), etc.(p1) The derivative of f'(x) never switches sign.Corresponding function (number only):(p2) f(x) has a vertical tangent line at x -1.Corresponding function (number only):(p3) The derivative of f'(x) is undefined at x 1.Corresponding function (number only):11(p4) f'(x) and its derivative are zero at x 0 and only at x 0.1Corresponding function (number only):33

Question

Just need Question 2b, p1-p4

2. In class, we matched functions to their derivatives. We will do that again, and match some
properties too. Consider these four functions and their derivatives you matched earlier.
f(r)
f'()
(i)
2
(A)
-3
1
2
3
-3 -2 -1
-1
1
2
-2
-21
f(r)
f(r)
(ii)
(B)
1
3
3
2
-1
2
1
2
-3 -2 -1
-1
-2
2
fr)
f(x)
(C)
(ii)
2
-3:
3 -2
1
2
-2
2
f'(r)
f(r)
(D)
(iv)
1
2
-3 -2 -1
-3 -2/ -1
1
2
1
(b) Determine which of the four properties corresponds to the functions above. Note that
f"(x) is interpreted as the derivative of the derivative of f(x), etc.
(p1) The derivative of f'(x) never switches sign.
Corresponding function (number only):
(p2) f(x) has a vertical tangent line at x -1.
Corresponding function (number only):
(p3) The derivative of f'(x) is undefined at x 1.
Corresponding function (number only):
11
(p4) f'(x) and its derivative are zero at x 0 and only at x 0.
1
Corresponding function (number only):
3
3
help_outline

Image Transcriptionclose

2. In class, we matched functions to their derivatives. We will do that again, and match some properties too. Consider these four functions and their derivatives you matched earlier. f(r) f'() (i) 2 (A) -3 1 2 3 -3 -2 -1 -1 1 2 -2 -21 f(r) f(r) (ii) (B) 1 3 3 2 -1 2 1 2 -3 -2 -1 -1 -2 2 fr) f(x) (C) (ii) 2 -3: 3 -2 1 2 -2 2 f'(r) f(r) (D) (iv) 1 2 -3 -2 -1 -3 -2/ -1 1 2 1 (b) Determine which of the four properties corresponds to the functions above. Note that f"(x) is interpreted as the derivative of the derivative of f(x), etc. (p1) The derivative of f'(x) never switches sign. Corresponding function (number only): (p2) f(x) has a vertical tangent line at x -1. Corresponding function (number only): (p3) The derivative of f'(x) is undefined at x 1. Corresponding function (number only): 11 (p4) f'(x) and its derivative are zero at x 0 and only at x 0. 1 Corresponding function (number only): 3 3

fullscreen
check_circleAnswer
Step 1

Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and specify the other subparts (up to 3) you’d like answered.

Step 2

Concept used:
1. The derivative of a function Y(x) at a point geometrically represents the slope at that point on the Y(x) vs x graph.

2. On increasing the val...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Math

Calculus

Related Calculus Q&A

Find answers to questions asked by student like you

Show more Q&A add

Sorry about that. What wasn’t helpful?