A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

idku

  • one year ago

just reviewing something from calc 1 (made up ex.)

  • This Question is Closed
  1. idku
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Should I make a function up? \(\tt f(x)=x^3+3x^2+2x+1\) now will do a lot of things to it...

  2. idku
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    At first, I will just simply determine when the function is increasing and when decreasing, using the first derivative.

  3. idku
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \(\tt f'(x)=3x^2+6x+2\) This is the derivative, or the slope, of the function \(\tt f(x)\). We know from elementary maths before calculuses, that: \(\bullet\) When the slope is positive the function is increasing \(\bullet\) When the slope is negative the function is decreasing

  4. idku
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So, we will set \(\tt f'(x)>0\) to find where the function is increasing, and set \(\tt f'(x)<0\) to find where the function is decreasing.

  5. idku
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    now, won't actually solve that... i need the concepts.

  6. idku
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok, now, the critical numbers.

  7. idku
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the critical numbers are the values of \(\tt f(x)\), are when: 1. \(\tt f'(x)=0\) (will have to set the derivative =0 and solve for x) 2. \(\tt f'(x)\) is undefined (provided that \(\tt f(x)\) has a value at that point) Polynomial is always continuous, and even without knowing this fact, I can tell that no restrictions in \(\tt f(x)\) or \(\tt f'(x)\) exist.

  8. idku
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Then \(\tt f'(b)=greatest~output~of~B\) \(\tt f'(a)=smallest~output~of~A\) when i check critical numbers, that would mean that I have absolute maximum of B at x=b absolute minimum of A at x=a

  9. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.