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
What is the interquartile range of the data set?
pychu [463]
The interquartile range of the data set is 30.
8 0
3 years ago
A pet store has 150 goldfish and betta fish altogether. The ratio of goldfish to betta fish is 2:3. How many goldfish does the p
Kipish [7]

The number of goldfish in the pet store is equal to 60 fishes.

  • Let the goldfish be G.
  • Let the betta fish be B.

<u>Given the following data:</u>

  • Total number of fishes = 150 fishes.
  • Ratio of G to B = 2:3
  • Total ratio= 2 + 3 = 5

To calculate the number of goldfish that the pet store have:

<h3>What is ratio?</h3>

Ratio can be defined as an expression that is used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

Mathematically, the number of goldfish in the pet store is given by this expression:

G = \frac{2}{5} \times 150\\\\G=0.4 \times 150

G = 60 fishes.

Read more on ratio here: brainly.com/question/13513438

6 0
2 years ago
Read 2 more answers
Help please!!! I only have 10 minutes!!
goblinko [34]
I think 0.7 would be it
3 0
3 years ago
Read 2 more answers
the diameter of your bicycle wheel is 34 inches.What is its radius?How far will you move in one turn if your wheel?What is the d
gulaghasi [49]

Answer:

Step-by-step explanation:

The radius of a circle is always half the radius.

Thus, in this case, the radius is (1/2)(34 in) = 17 in.

The "how far" question is answerable by finding the circumference of the wheel.  The circumference, C, is found by calculating C = πd, where d is the diameter of the circle in question.

Here, C = (34 in)π, which comes out to 106.81 inches.  The bike will move 106.81 inches forward if the wheel turns once.

If the wheel turns 5 times, the total distance traveled is 5 times the circumference, or 5(106.81 in) = 534.07 in.

6 0
3 years ago
Find the area of the shaded region
Basile [38]

Answer:

16 square units

Step-by-step explanation:

→ Find the area of the whole triangle

0.5 × ( 5 + 4 ) × 8 = 36

→ Find the area of the small triangle

0.5 × 5 × 8 = 20

→ Minus the area's of the triangles

36 - 20 = 16 square units

6 0
3 years ago
Other questions:
  • If you get a sneak peak at the salary list of your job and realize you are in the lowest bracket, which is the lowest 1%, what i
    6·1 answer
  • Find f(-3) if f(x)=x^2
    12·2 answers
  • A bookstore is giving a discount of $9 on paperback books that normally sell for $25. What is the discount rate?
    7·2 answers
  • What is the volume of a cone with a height of 6 cm in the radius of 2 cm
    7·1 answer
  • Fill this out pls lol
    6·2 answers
  • What is the perimeter P of △DEF to the nearest whole number?
    6·1 answer
  • Factor the expression using GCF the (greatest common factor)
    7·1 answer
  • Find the volume of the composite solid.<br><br> NO LINKS PLEASE!
    5·2 answers
  • Find the value of m​
    9·1 answer
  • Simplify: <br> 5 square root 7 x 7 square root 7
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!