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

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

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

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

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

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

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

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

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

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

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

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

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

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

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