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ammu123
Group Title
find the derivative of y with respect to x, t or theta.
(a) e^7  10x
Answer: 10e^710x
(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
ammu123 Group Title
find the derivative of y with respect to x, t or theta. (a) e^7  10x Answer: 10e^710x (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

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jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
The first one is \[\Large e^{710x}\] right?
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
The derivative of that isn't 10e^710x, so there has to be a typo somewhere
 one year ago

ammu123 Group TitleBest ResponseYou've already chosen the best response.0
im not sure i think we have to use the u substitution method to find the answer.
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
oh wait, is the answer is \[\Large 10e^{710x}\] and not \[\Large 10e^{7}10x\]
 one year ago

ammu123 Group TitleBest ResponseYou've already chosen the best response.0
yea its the first one
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
this is why parenthesis are useful if 710x is in the exponent, then say e^(710x)
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
ok that makes more sense now
 one year ago

ammu123 Group TitleBest ResponseYou've already chosen the best response.0
sorry about that
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
let u = 7  10x, which means du/dx = 10 this means \[\Large e^{710x}\] turns into \[\Large e^{u}\] then derive to get \[\Large e^{u}*\frac{du}{dx}\] \[\Large e^{u}(10)\] \[\Large 10e^{u}\] \[\Large 10e^{710x}\]
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.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

ammu123 Group TitleBest ResponseYou've already chosen the best response.0
ok i just need help with the other 3 as well
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
whats the derivative of 8xe^x
 one year ago

ammu123 Group TitleBest ResponseYou've already chosen the best response.0
im not sure
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
use the product rule
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
tell me what you get
 one year ago

ammu123 Group TitleBest ResponseYou've already chosen the best response.0
is it 8xe^x
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
no, but that's part of it though
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
Product Rule: if h(x) = f(x)*g(x), then h ' (x) = f ' (x) * g(x) + f(x) * g ' (x)
 one year ago
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