Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

ammu123

  • 2 years ago

find the derivative of y with respect to x, t or theta. (a) e^7 - 10x Answer: -10e^7-10x (b) 8xe^x - 8e^x answer: 8xe^x (c) y= (x^2 -2x+4)e^x answer: (x^2+2)e^x (d) y= sin e^theta^4 answer: (-4theta^3 e^-theta^4) cos e^-theta^4 please show the steps. thank you

  • This Question is Closed
  1. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The first one is \[\Large e^{7-10x}\] right?

  2. ammu123
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes

  3. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The derivative of that isn't -10e^7-10x, so there has to be a typo somewhere

  4. ammu123
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    im not sure i think we have to use the u substitution method to find the answer.

  5. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh wait, is the answer is \[\Large -10e^{7-10x}\] and not \[\Large -10e^{7}-10x\]

  6. ammu123
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yea its the first one

  7. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    this is why parenthesis are useful if 7-10x is in the exponent, then say e^(7-10x)

  8. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok that makes more sense now

  9. ammu123
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    sorry about that

  10. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    let u = 7 - 10x, which means du/dx = -10 this means \[\Large e^{7-10x}\] turns into \[\Large e^{u}\] then derive to get \[\Large e^{u}*\frac{du}{dx}\] \[\Large e^{u}(-10)\] \[\Large -10e^{u}\] \[\Large -10e^{7-10x}\]

  11. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I'm using the chain rule, which is If h(x) = f(g(x)), then h ' (x) = f ' (g(x)) * g ' (x)

  12. ammu123
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok i just need help with the other 3 as well

  13. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    whats the derivative of 8xe^x

  14. ammu123
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    im not sure

  15. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    use the product rule

  16. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    tell me what you get

  17. ammu123
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    is it 8xe^x

  18. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no, but that's part of it though

  19. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Product Rule: if h(x) = f(x)*g(x), then h ' (x) = f ' (x) * g(x) + f(x) * g ' (x)

  20. 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.