1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
makvit [3.9K]
1 year ago
5

exercise 5.2.6. let g be defined on an interval a, and let c ∈ a. (a) explain why g′(c) in definition 5.2.1 could have been give

n by g′(c)
Mathematics
1 answer:
Dahasolnce [82]1 year ago
3 0

From definition 5.2.1:

g'(c) = limₓ→c  g(x) ₋ g(c)/x₋c

Let h = x ₋ c

Then x = c₊h

substituting in the above defination we have:

g'(c) = limc₊h→c  g(c₊h) ₋ g(c)/c₊h₋c

=  limc₊h→c g(c₊h) ₋ g(c)/h

x → c ⇒ x ₋ c → 0 ⇒ h → 0

Hence we have,

limc₊h→c  g(c₊h) ₋ g(c)/h

Therefore we have defined clearly why g′(c) in definition 5.2.1 could have been given by g′(c).

Learn more about limits and continuity here:

brainly.com/question/24637240

#SPJ4

You might be interested in
How much tax would you pay on a new tv that is $899 at best buy, if the tax rate is 6.5
Virty [35]

Answer:

The total cost would be $957.44, and the tax is $58.44.

Step-by-step explanation:


8 0
3 years ago
Which expression is the factored form of -4.5n + 3​
IgorLugansk [536]

Answer:

-1.5 (3n-2)

Step-by-step explanation:

Factor -1.5 out of -4.5n+3

6 0
3 years ago
A business reports a a net income of -3,900 over a 6-month period. What is the average income per month for that period?
Veronika [31]
I’m guessing it’s B because it’s -3900 divide by 6 to get the average income per month. -3900/6 = -650
5 0
3 years ago
3x / y / 5 = Z solve for y HELP PLEASE !!!! HURRY !!!
natali 33 [55]

Answer:

x=7x/15

hope this helps

8 0
3 years ago
The sets G and M are given below.
Varvara68 [4.7K]

union=( -2,-1,0,1,2,5,7,8) intersection= -1,1

6 0
2 years ago
Other questions:
  • How do I use elimination for he equations 2x+10y=-20 and -x+4y=28?
    11·1 answer
  • Please help!!!! Thank you!!!! (25 points)
    12·1 answer
  • Write an equation of a line parallel to the line y=1/2x+8 and passing through the point (0, 1).
    13·2 answers
  • HELPPPPPP ASAP
    6·2 answers
  • Which answer shows line segments that are perpendicular to each other? Two parallel line segments with parallel symbol, no arrow
    9·1 answer
  • Help! Fast!! 3/8x5/6
    13·2 answers
  • Plz help me :) I need it
    6·1 answer
  • The first term in a sequence is 3. the term to term rule is add 5. is 97 at term in the sequence? give a reason why.
    13·1 answer
  • Which of the following ratios are equivalent to 20% ? 5:15 , 1:5 , 2:5 , 3:12 , 4:20
    12·2 answers
  • Find the Simple Intrest on<br> #60,000.00 for 3 years at<br> 5% per annum
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!