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
telo118 [61]
3 years ago
6

Find the derivative of

e="f(x) = \frac{6}{x} " alt="f(x) = \frac{6}{x} " align="absmiddle" class="latex-formula">
at x = 2.
Mathematics
1 answer:
aev [14]3 years ago
8 0
f'(x_0)=\lim\limits_{h\to0}\dfrac{f(x_0+h)-f(h)}{h}=\lim\limits_{x\to x_0}\dfrac{f(x)-f(x_0)}{x-x_0}\\\\f(x)=\dfrac{6}{x};\ x_0=2\\\\subtitute\\\\f'(2)=\lim\limits_{x\to2}\dfrac{\frac{6}{x}-\frac{6}{2}}{x-2}=\lim\limits_{x\to2}\dfrac{\frac{6}{x}-3}{x-2}=\lim\limits_{x\to2}\dfrac{\frac{6-3x}{x}}{x-2}=\lim\limits_{x\to 2}\dfrac{6-3x}{x(x-2)}\\\\=\lim\limits_{x\to2}\dfrac{-3(x-2)}{x(x-2)}=\lim\limits_{x\to2}\dfrac{-3}{x}=-\dfrac{3}{2}=-1.5\\\\\\An swer:\boxed{f'(2)=-1.5}
You might be interested in
Solve for x.<br><br> 2(4x− 9) = 5(x − 4)
cluponka [151]

Answer:

2(4x− 9) = 5(x − 4)

=>8x- 18= 5x-20

=>8x-5x= -20+18

=>3x = -2

=>x= -2/3

8 0
3 years ago
A line goes through the point (-3,2) and has a slope of 1. Write the equation of this line in standard form .
asambeis [7]

Answer:

y - 2 = x + 3

y = x + 5

-x + y = 5 standard form

4 0
3 years ago
How to show your work for 4÷29.5
S_A_V [24]
The answer is approximately 0.14 
5 0
2 years ago
Which equation has a solution of 2/3 for x?
Anika [276]
<h2><u>Answer: A. 15x = 10</u></h2>

Step-by-step explanation: 15 x 2/3 = 10.

-zomba

3 0
3 years ago
A single, standard number cube is tossed. What is the probability of getting a 4 or a 5?
jok3333 [9.3K]

Answer:

c) 1/3

Step-by-step explanation:

since there are 6 sides to the dice and 2 options could be chosen= 2/6 and that simplified is 1/3

5 0
3 years ago
Read 2 more answers
Other questions:
  • An environmental engineer is tasked with determining whether a power plant cooling system is heating the water it uses more than
    15·1 answer
  • Given f (x) = 2x^2 -3x + 5, find f (-4)
    7·2 answers
  • Ariane borrows $400 on a 4-year loan. She is charged 5% simple interest per year. How much interest is she charged for 4 years?
    10·1 answer
  • Solve for F. C= 5/9 (F-32)
    6·1 answer
  • I need a staight answer, A or B and why
    15·2 answers
  • Is 0.82 (reapting) rational
    5·1 answer
  • At summer camp the ratio of boys to girls was 7:4. If there was 63 boys how many girls were there.
    11·1 answer
  • Answer question please
    11·1 answer
  • Hurryyyyy I’m giving brainliest <br><br> Solve for x.<br> 6x = 78
    8·1 answer
  • Can somebody solve this?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!