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
dezoksy [38]
3 years ago
5

Identify the minimum value of the function y = 2x^2 + 4x

Mathematics
1 answer:
statuscvo [17]3 years ago
8 0

The function's minimum value is -2 at x = 1

Step-by-step explanation:

Given function is:

y = 2x^2+4x

In order to find the maxima or minima of a function, first of all, we have to find the derivative of the function

So,

Taking derivatives on both sides

\frac{d}{dx}(y) = \frac{d}{dx} (2x^2-4x)\\\frac{dy}{dx} = \frac{d}{dx} (2x^2) - \frac{d}{dx} (4x)\\y' = 2 \frac{d}{dx} (x^2) - 4 \frac{d}{dx}(x)\\y' = 2 (2x) \frac{d}{dx}(x) - 4(1)\\y' = 4x (1) - 4\\y' = 4x - 4

We have to find the roots of first derivative

So,

4x-4 = 0\\4x = 4\\x = \frac{4}{4} \\x = 1

Taking second derivative

\frac{d}{dx} (y') = \frac{d}{dx} (4x-4)\\y'' = 4

We can see that the second derivative of the function is a constant so the function has a minima at x=1

For minimum value, putting x = 1 in the function

= 2(1)^2 - 4(1)\\= 2(1) - 4\\= 2-4\\= -2

The function's minimum value is -2 at x=1

Keywords: Functions, minimum value

Learn more about functions at:

  • brainly.com/question/9880052
  • brainly.com/question/9862781

#LearnwithBrainly

You might be interested in
Will mark brainliest please help. thank you:)
frez [133]

Answer:

3

Step-by-step explanation:

hope this helps

8 0
3 years ago
Read 2 more answers
What is the explicit formula of -1,-3,-9,-27
TEA [102]

Answer:

(-1)* (3)^(n-1)

Step-by-step explanation:

common ratio is 3 and the first term is -1

the explicit formula is a * r^ ( n-1)

i.e., (-1) * 3^(n-1)

3 0
4 years ago
Paula finished the race at 2:14 p.m Beatrice finished the race 22 minutes earlier what time did Beatrice finish the race a 1:54
ella [17]

Answer:  d: 1:52pm

Step-by-step explanation:  Since Beatrice finished 22 minutes earlier, we subtract 22 minutes from 2:14. 2:14 - 14 is 2:00. 22-14 is 8. 2:00 - 8 is 1:52.

8 0
2 years ago
What is the slope , m and the y-intercept of the line that is graphed below?
Assoli18 [71]
The answer is the first one m=1 (0,3)
5 0
4 years ago
Jeff found 1/3 bag of popcorn weighed 1/4 pound . How many pounds will one bag of popcorn weigh?
Kaylis [27]

It'll be 3/4 lbs I'm pretty sure...

7 0
3 years ago
Other questions:
  • Convert between cups,pints,quarts,and gallons
    8·1 answer
  • What fraction does the number line show?
    6·1 answer
  • Plz help I am giving away 20 points!!!!!!!!
    14·2 answers
  • What is divisibility
    7·1 answer
  • I need this to be answered PLEASE!!!
    7·1 answer
  • Which of the following numbers has the highest value? Select one
    8·2 answers
  • What is the founder of 100 and 2,009
    5·2 answers
  • The equation 230 = d – 240 describes the distance in miles between Pensacola and Tampa. If d is the distance between the two cit
    9·2 answers
  • The present year is 2014. Which year comes AFTER THE NEXT 3 years?
    7·2 answers
  • Find the sets of numbers to which
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!