Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

ammu123

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

  • one year ago
  • one year ago

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

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

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

    yes

    • one year ago
  3. jim_thompson5910
    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

    • one year ago
  4. ammu123
    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.

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

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

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

    yea its the first one

    • one year ago
  7. jim_thompson5910
    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)

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

    ok that makes more sense now

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

    sorry about that

    • one year ago
  10. jim_thompson5910
    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 \[\Large e^{u}*\frac{du}{dx}\] \[\Large e^{u}(-10)\] \[\Large -10e^{u}\] \[\Large -10e^{7-10x}\]

    • one year ago
  11. jim_thompson5910
    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)

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

    ok i just need help with the other 3 as well

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

    whats the derivative of 8xe^x

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

    im not sure

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

    use the product rule

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

    tell me what you get

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

    is it 8xe^x

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

    no, but that's part of it though

    • one year ago
  19. jim_thompson5910
    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)

    • one year ago
    • Attachments:

See more questions >>>

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.