victoriameneses62 victoriameneses62
  • 25-10-2020
  • Mathematics
contestada

Find all the critical numbers of the function f(x) = x^4 - 4x^2

Respuesta :

Space
Space Space
  • 25-10-2020

Answer:

C.N x = ±√2, 0

Step-by-step explanation:

Basic Power Rule:

f(x) = cxⁿ

f’(x) = c·nxⁿ⁻¹

Critical numbers occur when f'(x) is equal to zero or undefined.

Step 1: Define function

f(x) = x⁴ - 4x²

Step 2: Find critical numbers

  1. Find derivative of f(x): f'(x) = 4x³ - 8x
  2. First Derivative Test: 0 = f'(x)
  3. First Derivative Test: 0 = 4x³ - 8x
  4. Factor and Solve: 0 = 4x(x² - 2)
  5. Critical Numbers: x = ±√2, 0
Answer Link

Otras preguntas

Will give brainliest (Market economies are characterized by) a.no government involvement. b.significant government involvement. c.some government involvement. d
what does this statement mean?Might just as well ask the cat to find anything as expect you people to find it.​
Why are conservation groups pushing for worldwide restrictions on whaling
Express 2 as a fraction
Who were the superpowers during the Cold War
Help Help Plz HelpIn the year 2066 Bs, in a city of Nepal, the total population was 40,00. In the same year 2,000 pep[le immigrated and 1,000 people out migrate
Ratio of red marbles to blue marbles is 2:3. If there are 6 red marbles, how many blue marbles are there
I need some help please this is really mixing me up.
True or false: an ADVERB always ends in the letters "ly"
What is the solution to the equation? 5 = 2/5a A. 2 B. 4 3/5 C. 12 1/2 D. 25