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ammu123
 2 years ago
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
ammu123
 2 years ago
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

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

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

ammu123
 2 years ago
Best ResponseYou've already chosen the best response.0im not sure i think we have to use the u substitution method to find the answer.

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

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

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0ok that makes more sense now

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

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0I'm using the chain rule, which is If h(x) = f(g(x)), then h ' (x) = f ' (g(x)) * g ' (x)

ammu123
 2 years ago
Best ResponseYou've already chosen the best response.0ok i just need help with the other 3 as well

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0whats the derivative of 8xe^x

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0use the product rule

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0tell me what you get

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0no, but that's part of it though

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0Product Rule: if h(x) = f(x)*g(x), then h ' (x) = f ' (x) * g(x) + f(x) * g ' (x)
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