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anonymous
 4 years ago
Find f '(x) and f ''(x).
f(x) = x^8ex
f '(x) =
f ''(x) =
anonymous
 4 years ago
Find f '(x) and f ''(x). f(x) = x^8ex f '(x) = f ''(x) =

This Question is Closed

goformit100
 4 years ago
Best ResponseYou've already chosen the best response.0Diffrentiate it and reply your answer

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0product rule for this one use \[(fg)'=f'g+g'f\] with \(f(x)=x^8,f'(x)=8x^7,g(x)=e^x,g'(x)=e^x\)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0(8x^7)(e^x)+(x^8)(e^x)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0that answer is good for f'(x).

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\(\large f'(x) = 8x^7e^x + x^8e^x\) just take the derivative of each term in the sum above using product rule

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0f''(x) = (56x^6)(e^x)+(8x^7)(e^x)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0that is the derivative of the first term, but not f''(x) yet.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0f''(x) = ((56x^6)(e^x)+(8x^7)(e^x))+((8x^7)(e^x)+(8x^7)(e^x))

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0good except for the last term in you answer \[f''(x) = 56^6e^x + 8x^7e^x + 8x^7e^x + x^8e^x\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0sorry, missed an x :) \[f''(x) = 56x^6e^x + 8x^7e^x + 8x^7e^x + x^8e^x\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you may need to gather like terms...

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0would it be 16x^7(e^x)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0maybe you also need to factor it??? \[f''(x) = 56x^6e^x + 16x^7e^x + x^8e^x\] \[GCF = x^6e^x\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0(56x^6)(e^x)+(x^8)(e^x)+(16x^7)(e^x)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0maybe you also need to factor it??? \[f''(x) = 56x^6e^x + 16x^7e^x + x^8e^x\] \[GCF = x^6e^x\]
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