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satellite73 Group TitleBest ResponseYou've already chosen the best response.1
\[f(x)=x^8e^x\]?
 one year ago

goformit100 Group TitleBest ResponseYou've already chosen the best response.0
Diffrentiate it and reply your answer
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
product rule for this one use \[(fg)'=f'g+g'f\] with \(f(x)=x^8,f'(x)=8x^7,g(x)=e^x,g'(x)=e^x\)
 one year ago

v.s Group TitleBest ResponseYou've already chosen the best response.0
(8x^7)(e^x)+(x^8)(e^x)
 one year ago

cruffo Group TitleBest ResponseYou've already chosen the best response.1
that answer is good for f'(x).
 one year ago

v.s Group TitleBest ResponseYou've already chosen the best response.0
how do i do f''(x)
 one year ago

cruffo Group TitleBest ResponseYou've already chosen the best response.1
\(\large f'(x) = 8x^7e^x + x^8e^x\) just take the derivative of each term in the sum above using product rule
 one year ago

v.s Group TitleBest ResponseYou've already chosen the best response.0
f''(x) = (56x^6)(e^x)+(8x^7)(e^x)
 one year ago

cruffo Group TitleBest ResponseYou've already chosen the best response.1
that is the derivative of the first term, but not f''(x) yet.
 one year ago

v.s Group TitleBest ResponseYou've already chosen the best response.0
f''(x) = ((56x^6)(e^x)+(8x^7)(e^x))+((8x^7)(e^x)+(8x^7)(e^x))
 one year ago

cruffo Group TitleBest ResponseYou've already chosen the best response.1
good except for the last term in you answer \[f''(x) = 56^6e^x + 8x^7e^x + 8x^7e^x + x^8e^x\]
 one year ago

cruffo Group TitleBest ResponseYou've already chosen the best response.1
sorry, missed an x :) \[f''(x) = 56x^6e^x + 8x^7e^x + 8x^7e^x + x^8e^x\]
 one year ago

cruffo Group TitleBest ResponseYou've already chosen the best response.1
you may need to gather like terms...
 one year ago

v.s Group TitleBest ResponseYou've already chosen the best response.0
would it be 16x^7(e^x)
 one year ago

v.s Group TitleBest ResponseYou've already chosen the best response.0
i got it wrong
 one year ago

cruffo Group TitleBest ResponseYou've already chosen the best response.1
maybe you also need to factor it??? \[f''(x) = 56x^6e^x + 16x^7e^x + x^8e^x\] \[GCF = x^6e^x\]
 one year ago

v.s Group TitleBest ResponseYou've already chosen the best response.0
(56x^6)(e^x)+(x^8)(e^x)+(16x^7)(e^x)
 one year ago

cruffo Group TitleBest ResponseYou've already chosen the best response.1
maybe you also need to factor it??? \[f''(x) = 56x^6e^x + 16x^7e^x + x^8e^x\] \[GCF = x^6e^x\]
 one year ago

v.s Group TitleBest ResponseYou've already chosen the best response.0
have to simplify
 one year ago

v.s Group TitleBest ResponseYou've already chosen the best response.0
i got ti thank you
 one year ago
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