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
Dimas [21]
3 years ago
12

Find the derivative of f(x) = 6x + 2 at x = 1. 1 2 3 6

Mathematics
2 answers:
noname [10]3 years ago
7 0

f(x)=6x+2,\ x_0=1\\\\f'(x_0)=\lim\limits_{h\to0}\dfrac{f(x_0+h)-f(x_0)}{h}\\\\f'(1)=\lim\limits_{h\to0}\dfrac{f(1+h)-f(1)}{h}=\lim\limits_{h\to0}\dfrac{6(1+h)+2-[6(1)+2]}{h}\\\\=\lim\limits_{h\to0}\dfrac{(6)(1)+(6)(h)-(6+2)}{h}=\lim\limits_{h\to0}\dfrac{6+6h-8}{h}\\\\=\lim\limits_{h\to0}\dfrac{6h-2}{h}=\lim\limits_{h\to0}\left(\dfrac{6h}{h}-\dfrac{2}{h}\right)=\lim\limits_{h\to0}\left(6-\dfrac{2}{h}\right)=6\\\\Answer:\ \boxed{f'(1)=6}

marysya [2.9K]3 years ago
4 0
Ich would das that the derivative of
f(x) = 6x+2
is 6
because of derivative 6x it is 6 and the derivative of 2 is 0
You might be interested in
the profit for a taco truck business follows this function, where x is the price of a taco(in dollars) and y is the daily profit
Sati [7]

Answer:

x = √2 + 2, -√2 + 2

Step-by-step explanation:

y = -2(x-2)² + 4

-2(x-2)² + 4 = 0 --- replace y with 0

-2(x - 2)² = -4 --- subtract 4 from both sides

(x - 2)² = \frac{-4}{-2} --- divide both sides by -2

(x - 2)² = 2 --- simplify

x - 2 = +-√2 --- square root both sides

x - 2 = √2 --- split into 2 equations

x - 2 = -√2

x = √2 + 2 --- solve first equation

x = -√2 + 2 --- solve second equation

x = √2 + 2, -√2 + 2


4 0
3 years ago
Read 2 more answers
Suppose you are given a parabola with two points that have the same y-value, such as (-7, 11) and (3, 11). Explain how to find t
Hoochie [10]

By using the midpoint formula and the equation of the line, the equation of the line of symmetry is x = - 2.

<h3>How to derive the equation of the axis of symmetry </h3>

In this question we know the locations of two points with the same y-value, which means that the axis of symmetry is parallel to the y-axis and that both points are equidistant. Thus, the axis of symmetry passes through the midpoint of the line segment whose ends are those points.

First, calculate the coordinates of the midpoint by the midpoint formula:

M(x, y) = 0.5 · (- 7, 11) + 0.5 · (3, 11)

M(x, y) = (- 2, 11)

Second, look for the first coordinate of the midpoint and derive the equation of the line associated with the axis of symmetry:

x = - 2

By using the midpoint formula and the equation of the line, the equation of the line of symmetry is x = - 2.

To learn more on axes of symmetry: brainly.com/question/11957987

#SPJ1

3 0
1 year ago
Find the difference quotient and simplify your answer. <br>f(x) = x^3 + 3x, (f(x + h) - f(x))/h
kiruha [24]
F x (x + h) - fx/h 
fx +fh - fx /h
fh/h
f
So f is the answer
5 0
3 years ago
The sum of three consecutive odd numbers is 69. What is the biggest number?
ohaa [14]

Answer:

25 is the answer

Step-by-step explanation:

21 23 25

6 0
3 years ago
Which of the following graphs could represent a quartic function?
Scilla [17]

Answer:

Graph A

Basically a graph of a function will have no turns if linear, 1 turn if quadratic, 2 turns if cubic, and 3 terms if quartic.

Graph A has a small turn on its right side.

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Yesterday, Jack drove 44 1/2 miles. He used 1 1/4 gallons of gasoline. What is the unit rate for miles per​ gallon?
    7·2 answers
  • 4.4 mi/h how many ft/s
    13·1 answer
  • 30 points! What is the volume of the box if it is scaled down by a factor of 110? ( Volume is 192 in3)
    11·1 answer
  • If a line through the origin has a slope of 2, what is the slope of the line through the origin that is perpendicular to
    11·1 answer
  • What is 69= 5(7-5r) + 4(r-2) show work
    15·1 answer
  • Which equation is represented by the graph below? HELP PLEASE
    14·1 answer
  • What would be the angle for M
    7·1 answer
  • The length of a rectangle is (x - 9) feet. Its width is x feet. Write an expression you could use to find the perimeter
    7·1 answer
  • A number n is greater than 22
    15·2 answers
  • Please pls pls pls ANSWER ASAP!!! :P<br> :)
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!