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
Alona [7]
3 years ago
5

Find the extreme values of the function and where they occur. f(x)=x-4sqrt(x)

Mathematics
1 answer:
Tema [17]3 years ago
3 0
The extreme values of the function f(x) = x - 4sqrt(x) occur at the values of x for which f'(x) = 0

f'(x) = 1 - 2/sqrt(x) = 0
sqrt(x) - 2 = 0
sqrt(x) = 2
x = 4
To check for minimum or maximum,
f''(x) = 1/(sqrt(x))^3 = 1/(sqrt(4))^3 = 1/(2^3) = 1/8 => the point is a minimum.

Therefore, the minimum value = f(4) = 4 - 4sqrt(4) = 4 - 4(2) = 4 - 8 = -4 and occurs at x = 4.
You might be interested in
Need help on answering number 12.
Greeley [361]
A) 9.06 is the square root of 82
b) a. he evaluated 82/2 instead of evaluating the square root of 82
5 0
3 years ago
How do you solve this?
oksian1 [2.3K]

Answer:

X=73/7

Step-by-step explanation:

7 0
3 years ago
Plz help me asap plz i need help
a_sh-v [17]

what do you need help on ? LMFA O

7 0
3 years ago
Find the distance between this pair of points (-3,5) and (5. - 1)
padilas [110]

Answer:

14.

Step-by-step explanation:

6 down, 8 right

7 0
3 years ago
Read 2 more answers
What is the Y- intercept of the graph of the line given by equation 3y+4x=15?
KATRIN_1 [288]
Yint is where the line crosses the y axis or where x=0
set x=0

3y+4x=15
x=0
3y+4(0)=15
3y+0=15
3y=15
divide by 3
y=5

yint is (0,5) or at y=5
3 0
3 years ago
Other questions:
  • Karen paid $43.70 for a book. The price of the book was $40. What was the sales tax rate? 8.48% 9.25% 10.78%
    7·2 answers
  • A gallon of gas in Japan costs $4.24. If the exchange rate is 1 dollar / 90 yen, who many yen would it cost per gallon of gas?
    13·1 answer
  • Use the figure to decide the type of angle pair that describes ∠3 and ∠6.
    7·1 answer
  • Which expression is equivalent to 4/9 times 7
    15·1 answer
  • Proportional or not? Y=2.92x Y=x+3 Y= X(squared) Y= 3/4 (x)
    15·1 answer
  • A parking garage charges $2 for the first hour and $1 for each additional
    10·2 answers
  • Pick all the names for this shape. Sides that appear to be parallel are parallel
    11·2 answers
  • There are 3 cats in a room and no other creatures.
    11·2 answers
  • 3/5e-6=-2/5(e-10)-7
    15·1 answer
  • how to use Lcd in this problem? [a-2. -_1_ =_3_]find Lcd [ a+3 1 a-2]. (a+3)(a+2). multiply all neumerator to (LCD) a-2 - 1= 3 _
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!