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
geniusboy [140]
2 years ago
11

I don't know how to solve it.

Mathematics
1 answer:
Nataly [62]2 years ago
8 0

Step-by-step explanation:

Take the first derivative

\frac{d}{dx} ( {x}^{3}  - 3x)

3 {x}^{2}  - 3

Set the derivative equal to 0.

3 {x}^{2}  - 3 = 0

3 {x}^{2}  = 3

{x}^{2}  = 1

x = 1

or

x =  - 1

For any number less than -1, the derivative function will have a Positve number thus a Positve slope for f(x).

For any number, between -1 and 1, the derivative slope will have a negative , thus a negative slope.

Since we are going to Positve to negative slope, we have a local max at x=-1

Plug in -1 for x into the original function

( - 1) {}^{3}  - 3(  - 1) = 2

So the local max is 2 and occurs at x=-1,

For any number greater than 1, we have a Positve number for the derivative function we have a Positve slope.

Since we are going to decreasing to increasing, we have minimum at x=1,

Plug in 1 for x into original function

{1}^{3}   - 3(1)

1 - 3 =  - 2

So the local min occurs at -2, at x=1

You might be interested in
Express the decimal 2.39 as a percent. <br> A. 23.9% <br> B. 240% <br> C. .239% <br> D. 239%
Assoli18 [71]
Solve:-

2.39 = decimal

2.39 × 100 = 239
239%

2.39 = C. 239%
6 0
3 years ago
Read 2 more answers
What is the area of a kitchen floor that measures 15 1/4feet by 133/4 feet
lukranit [14]
Multply and try to find common denominators
7 0
3 years ago
Read 2 more answers
How many more students were enrolled at the University of Michigan in 1950 than in 1900
zavuch27 [327]
Well to be very accurate and clear the answer I must choose is a lot
4 0
3 years ago
Help pls ill gve brainlist &lt;3 or however you spell it
telo118 [61]

Answer:

1) Is 3 for K

2) is 4 for X

3) is 56 for Y

8 0
2 years ago
Read 2 more answers
Find the area of the figure. 7 cm 4 cm 4 cm 1 10 cm 10 cm 8 cm 19 cm
Paladinen [302]

Answer:

132cm^2

Step-by-step explanation:

first break the shape up into component shapes. the shape is made of two rectangles and two triangles. the area for a rectangle is A=BH where b is base and h is height. the area of a right triangle is BH/2 where b is the base and h is the height. you are given the base and height of the top rectangle 4x7. To find the area of the triangles and the second rectangle you have to do some algebra. the total base length is 19cm and the top rectangle has a length of 7cm so 19-7 leaves you with 12cm to spare and there is two symmetric triangles on each side so 12/2 is 6. now we know all the measurements and can solve.

3 0
2 years ago
Other questions:
  • The solution to 2 x - 2 + 5 = 13 is___.
    10·1 answer
  • What is the perimeter of an equilatal triangle with side length 4.6mm?
    14·1 answer
  • Form the greatest and smallest 8-digit numbers using the digit 90317​
    11·1 answer
  • A 15-foot ladder must make an angle of 30° with the ground if it is to reach a certain window. What angle must a 20-foot ladder
    15·1 answer
  • Please answer ASAP........
    13·1 answer
  • a page of school yearbook is 8 1/2 inches wide. The left and right margins are 1 inch and 2 1/2 inches respectively. The space b
    13·1 answer
  • Three(two squared minus9)
    6·1 answer
  • Just use the picture. I need help asap.
    8·1 answer
  • A rectangle has a length (2x−5) and a width of (x−3) . What is the area of the rectangle?
    9·1 answer
  • Solve problem to find π (please add steps)<br><br> A=1/2πr^2
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!