Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

marmots

  • 3 years ago

if f(x)= (3sqrtX)(X^3 -2sqrtX +6) find f'(x)

  • This Question is Closed
  1. amistre64
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    do we assume X = x ?

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

    yes

  3. amistre64
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    product rule it then and youll be good

  4. jrodriguez2315
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Take the derivative of f'(x). Use product rule along with chain rule. f'(x)=f'(x)g(x) + f(x)g'(x).

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

    I've tried that several times. I just need an answer.

  6. amistre64
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    (3sqrtX)'(X^3 -2sqrtX +6)+(3sqrtX)(X^3 -2sqrtX +6)' \(\cfrac{3}{2\sqrt{x}}\) (X^3 -2sqrtX +6)+ \(3\sqrt{x}\ (3x^2 -\cfrac{1}{\sqrt{x}})\)

  7. amistre64
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\frac{3x^3}{2\sqrt{x}}-3+\frac{9}{\sqrt{x}}+9x^2\sqrt{x}-3\]

  8. jrodriguez2315
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    marmots make sure to regard the sqrt(x) as (x)^1/2. It makes it easier to integrate. Just a tip.

  9. jrodriguez2315
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I mean to take the derivative!!

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

    Thanks guys, I appreciate it.

  11. amistre64
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yep, might need to simplify some more, but im pretty sure thats the brunt of it

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

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.