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liizzyliizz
 4 years ago
if f(x)= ae^kx and f'(x)/f(x)= 5/2 then k=
Help lol (Relearning calculus and basic rules :P )
liizzyliizz
 4 years ago
if f(x)= ae^kx and f'(x)/f(x)= 5/2 then k= Help lol (Relearning calculus and basic rules :P )

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bahrom7893
 4 years ago
Best ResponseYou've already chosen the best response.0find the derivative of f(x): f'(x) = a*e^(kx)*k (Chain rule)

bahrom7893
 4 years ago
Best ResponseYou've already chosen the best response.0f'(x) = a*k*e^(kx) f'(x)/f(x) = 5/2, so a*k*e^(kx)/[a*e^(kx)] = 5/2

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[f(x)=ae ^{kx}\]\[f'(x)=ake ^{kx}\]reaplce:\[\frac{ake ^{kx}}{ae ^{kx}}=\frac{5}{2}\]\[k=\frac{5}{2}\]

bahrom7893
 4 years ago
Best ResponseYou've already chosen the best response.0a*e^(kx) on top and bottom cancel out, so u're left with k = 5/2

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0remember: \[f(x)=e ^{u} \]\[f \prime(x)=e ^{u}u \prime\]

liizzyliizz
 4 years ago
Best ResponseYou've already chosen the best response.0O.o This is so simple lol I am embarrassed I got this wrong now :(

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dont forget, click good answer :D jeje

liizzyliizz
 4 years ago
Best ResponseYou've already chosen the best response.0lol there you go :) Thanks for the help.
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