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
An expression is shown.
Vikki [24]

Answer:

Step-by-step explanation:

2+8+3_5x1

7 0
3 years ago
Help me please urgent
marissa [1.9K]
360-150-150=60 arc ac=60, the measure of arc is same as central angle and inscribe angle is half of central angle so answer is 30
5 0
3 years ago
A factory makes 1,200 shirts every 6 hours. The factory makes shirts for 9 hours each workday. Enter the fewest number of workda
eduard
<span>The factory makes shirts for 9 hours each workday. </span>
7 0
3 years ago
Imagine there are 5 cards. They are colored red, yellow, green, white, and black. You mix up the cards and select one of them wi
iragen [17]

Step-by-step explanation:

step one:

given that the sample space is

red, yellow, green, white, and black. i.e (1+1+1+1+1)= 5

the sample size is 5

the probability of picking a colored card at random is

Pr(a colored card)= 1/5

step two:

without replacement, after the first event, the sample size is now 4

then the probability of picking a colored card at random is

Pr(a colored card)= 1/4

5 0
3 years ago
Which value of x is a solution of x &lt; -2?<br> A.<br> -3<br> B. -2<br> C.<br> -1<br> D. 0
Viefleur [7K]

Answer:

A

Step-by-step explanation:

-3<-2

7 0
3 years ago
Other questions:
  • Javier power walks 4 1/4 miles in 2 hours how many miles does he walk in one hour? ANSWER HAS TO BE IMPROPER AND IN SIMPLEST FOR
    12·1 answer
  • A store is having a sale on chocolate chips and walnuts. For
    13·1 answer
  • The average length of a king cobra is 118 inches, which is 22 inches longer than a black mamba. Write and solve an equation to f
    7·1 answer
  • Maria bikes 15 miles per hour and starts at 10 miles. Glen bikes 20 miles per hour and starts at 0 mile. At what time and distan
    12·1 answer
  • Show the Euler-Descartes formula holds for the Great Pyramid of Cheops
    5·1 answer
  • A
    9·1 answer
  • Does anyone know the answer 2=10-4y;2
    9·1 answer
  • Help help help help!!!!!
    5·2 answers
  • 1. Find the percent of the given quantity using any method: 40% of 320
    13·2 answers
  • Rhianna and Myra, both teachers, are adding books to their class libraries. Rhianna's classroom started out with a collection of
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!