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goformit100Best ResponseYou've already chosen the best response.0
Diffrentiate it and reply your answer
 one year ago

satellite73Best 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

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

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

cruffoBest 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.sBest 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

cruffoBest 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

cruffoBest 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

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

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

cruffoBest 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
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