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
sveticcg [70]
3 years ago
6

Find all the critical points of h(x) = x^3 − 3x^4 and categorize them as local

Mathematics
1 answer:
neonofarm [45]3 years ago
6 0

Answer:

0 is an inflection point

1/4 is a local maximum.

Step-by-step explanation:

To begin with you find the first derivative of the function and get that

h'(x) = 3x^2 - 12x^3

to find the critical points you equal the first derivative to 0  and get that

3x^2 - 12x^3 = 0, x =  0,1/4

To find if they are maximums or local minimums you use the second derivative.

h''(x) = 6x-36x^2

since h''(0) = 0 is neither an inflection point, and since h''(1/4) = -3/4 then 1/4 is a maximum.

You might be interested in
List and descripe the steps you would use to model 7/10_4/10
hram777 [196]
7/10 > 4/10 because 7/10 is bigger than 4/10
7/10 = 0.7
4/10 = 0.4
5 0
3 years ago
Can you please help me I really need help urgently pls
sashaice [31]
You have to dive the x and the Y so R=7
7 0
3 years ago
Read 2 more answers
The length of a rectangle is 4 cm more than the width and the perimeter is at least 34 cm
Aleks [24]
It is 28 i think been 3 year since i did this

5 0
3 years ago
Read 2 more answers
For a standard normal distribution, which of the following expressions must always be equal to 1?
Valentin [98]

Option D, For a standard normal distribution, the expression that is always equal to 1 is P(z ≤ -a) + P(-a≤z≤a) + P(Z≥a).

<h3>What is standard normal distribution?</h3>

A standard normal distribution is a normal distribution with a mean of zero and standard deviation of 1.

For a standard normal distribution, the total area of a curve is always equal to 1.

total area = P(z≤-a)+P(-a≤z≤a)+P(Z≥a) = 1

Thus, for a standard normal distribution, the expression that is always equal to 1 is P(z ≤ -a) + P(-a≤z≤a) + P(Z≥a).

Learn more about standard normal distribution here: brainly.com/question/4079902

#SPJ1

4 0
2 years ago
Which of the following is the inverse of the relation {(1, 5), (2, 6), (1, 7), (4, 8)}?
olasank [31]
Just switch ur x's and y's

(5,1), (6,2) , (7,1), (8,4) <== the inverse


3 0
3 years ago
Other questions:
  • How can you prove that a conjecture if false?
    6·1 answer
  • Suppose you went to a carnival.The price to get in was $4, and paid $0.50 to get on each ride. If you went to the carnival and r
    14·1 answer
  • X - 54 &gt; -53<br> Solve the inequality.
    13·1 answer
  • Simplify. (-2)^-3 =<br><br> ............
    11·1 answer
  • Find the value of c that makes t^2– 22t+ c a perfect square trinomial.
    6·1 answer
  • help⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️​
    5·2 answers
  • You move left 1 unit and up 1 units, you end at (4,-2) where did u start?
    11·2 answers
  • Divide and simplify. − 8 15 ÷ − 3 5 A) − 3 25 B) − 4 5 C) 13 15 D) 8 9 <br> A 100 points
    12·1 answer
  • Help?? I could really use it
    8·1 answer
  • 99 in./s = mi/day<br> Converting rates for 7th grade math can’t seem to figure it out
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!