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
dlinn [17]
3 years ago
8

Find the derivative of f(x) = 6x + 2 at x = 1.

Mathematics
2 answers:
earnstyle [38]3 years ago
6 0
f'(x_0)=\lim\limits_{x\to x_0}\dfrac{f(x)-f(x_0)}{x-x_0}\\\\f(x)=6x+2;\ x_0=1\\\\f'(1)=\lim\limits_{x\to x_0}\dfrac{(6x+2)-(6\cdot1+2)}{x-1}=\lim\limits_{x\to x_0}\dfrac{6x+2-8}{x-1}\\\\=\lim\limits_{x\to x_0}\dfrac{6x-6}{x-1}=\lim\limits_{x\to x_0}\dfrac{6(x-1)}{x-1}=\lim\limits_{x\to x_0}6=6\\\\\\Answer:\boxed{f'(1)=6}
alexandr1967 [171]3 years ago
5 0

Answer:

6

Step-by-step explanation:

Looking for the derivative of a function is similar to differentiating the function.

Given the function f(x) = 6x+2

The derivative of the function

f'(x) = 6

The derivative of the function at x= 1 will still be equivalent to 6 since 6 is just a constant.

You might be interested in
Write a multiplication equation using one whole number and one fraction that have a product18/8
kotegsom [21]
1/4 * 9 = 18/8
               I hope this helped  :)
8 0
3 years ago
HELP ME ON THIS PLEASE!!!! SHOW WORK!!!!
Mumz [18]

Answer:

<h2>1. x = 4</h2><h2>2. x = 20</h2>

Step-by-step explanation:

1.

ΔABC and ΔAJK are similar (AA). Therefore the sides are in proportion:

\dfrac{AC}{AJ}=\dfrac{AB}{AK}

We have:

AC = 1 + 4 = 5

AJ = 1

AB = 1 + x

AK = 1

Substitute:

\dfrac{5}{1}=\dfrac{1+x}{1}

5=1+x           <em>subtract 1 from both sides</em>

4=x\to x=4

2.

ΔVUT and ΔVMN are similar (AA). Therefore the sides are in proportion:

\dfrac{VU}{VM}=\dfrac{VT}{VN}

We hve:

VU = x + 8

VM = x

VT = 49

VN = 49 - 14 = 35

Substitute:

\dfrac{x+8}{x}=\dfrac{49}{35}              <em>cross multiply</em>

35(x+8)=49x          <em>use the distributive property a(c + b) = ab + ac</em>

35x+280=49x              <em>subtract 35x from both sides</em>

280=14x         <em>divide both sides by 14</em>

20=x\to x=20

3 0
3 years ago
Please help it's for a test!
Tanya [424]

Answer:

0.2322   or    23.22 %

Step-by-step explanation:

We have to solve and find the area out of these limits

μ + 0,3 =  210 + 0,3   ⇒    210,3  and

μ - 0,3  =  210 - 0,3   ⇒    209.7

z(l)   = ( x - 210 ) / (2.8/√84)   ⇒  z(l) =  - (0.3 * 9,17)/ 2.8

z (l)  = - 1.195  

We need to interpole from z table

               1.19         ⇒     0.1170

              1.20       ⇒      0.1151

   Δ  ⇒     0.01     ⇒      0.0019

And between our point   1,195 and 1,19   the difference is  0.005

then        0.01          ⇒   0.0019

              0.005      ⇒      ?? (x)

we find x =  0.00095

to get the area for poin  z (l)  - 1.195 up to final left tail is from  z table

0,1170 - 0.00095 =  0.1161

And by symmetry  to the right is the same

So   0.1161 * 2   =  0.2322

We find the area out of the above indicated limits  the area we were looking for. This is the probability of finding shafts over and below the population mean and 0.3 inches

Step-by-step explanation:

5 0
2 years ago
Need help with this. Please
seropon [69]

Answer: hey im not sure, but i think your supposed to solve 7x-6 and 9+12x. Add these two together and times it by 55. Im not syre if this is right but u could try it.

6 0
2 years ago
In town 35% of 15 000 voters did not cast vote in election How many people cast their votes?​
natita [175]

Let p = number of people that cast their vote.

p = 0.35(15, 000)

p = 5,250

7 0
3 years ago
Other questions:
  • explain how arc length and the measure of the central angle of a circle are related. check my answer?
    10·1 answer
  • Some one help me pls and explain
    15·1 answer
  • The Long family spent $38.62 for school supplies and $215.78 for new school clothes. They paid sales tax on their purchases. If
    11·1 answer
  • Sophia ought 9 tickets to a concert.The total charge was$104,including a $5 service charge. If each ticket cost the same amount,
    8·1 answer
  • The value of a professional basketball player's autograph rose 40% in the last year. It is now worth $392.00. What was it worth
    5·1 answer
  • Suppose that you construct a histogram and a relative frequency histogram corresponding to a particular frequency table. Identif
    5·2 answers
  • What is the equation of the line that passes through the point (-5, -3) and has a<br> slope of -1?
    7·1 answer
  • A quality control manager is inspecting four digital scales to see if they accurately reflect a weight of 0 ounces. The table sh
    9·2 answers
  • Bill weights 120 pounds and is gaining 10 pounds each month. Phil weights 150 pounds and is gaining 4 pounds each month. How man
    13·2 answers
  • Parallel Lines Practice NO LINKS PLEASE and please explain this for me so i can understand
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!