A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

For the following function, find all its critical point(s) and its absolute extrema. [ Note: If there is more than one answer enter separated by commas.] f(x)=10sqrt(x^2+10)−3x0x14

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    please help because i need the answer now !

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    3x0x14?

  3. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Is that a zero-x in the second term?

  4. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh sorry its supposed to be 0<= x <=14

  5. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the equation ends at ....-3x

  6. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    take the derivative. set it equal to 0. And solve for x to find the critical point

  7. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Check this point by plugging it into the original equations. Check the boundary points 14, 0 Compare each of these and figure out which gives the biggest value.

  8. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[d/dx = \frac{(10 x)}{\sqrt(x^2+10)}-3 \]

  9. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Some ugly algebra but you can soldier through it.

  10. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    can i pleaaaaase have the answer?

  11. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    x = 3sqrt(10/91) <= it's pretty ugly which makes me think you mistyped the equation

  12. 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.