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liizzyliizz
 4 years ago
find the equation of the tangent line to the curve f(x)= lnx/e^x at x=1
liizzyliizz
 4 years ago
find the equation of the tangent line to the curve f(x)= lnx/e^x at x=1

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0slope m=f'(1) point (1,f(1)) equation: (yf(1))=m(x1)

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1^right, so what have you got for f'(x) ?

liizzyliizz
 4 years ago
Best ResponseYou've already chosen the best response.0wouldn't f'(x) be (1/x  ln(x)) * e^x ?

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1yeah, so what is f'(1) ?

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1\[f'(x)=e^{x}(\frac1x\ln x)\]\[f'(1)=e^{1}(\frac11\ln 1)=e^{1}(10)=e^{1}\]

liizzyliizz
 4 years ago
Best ResponseYou've already chosen the best response.0err I messed up on the e^1 :/

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1so that's your slope, m what's f(1) ?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0right, so now you have: slope m=e^1 and point (1,0) replace in the equation

liizzyliizz
 4 years ago
Best ResponseYou've already chosen the best response.0ok so it would be y0=e^1(x1) correct?

liizzyliizz
 4 years ago
Best ResponseYou've already chosen the best response.0then you would just change the form, which is what im doing now to match the choices in my question

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1yeah that's right don't know what for you need it in...

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0y=e^1(x1) is the equation of the tangent line to the curve

liizzyliizz
 4 years ago
Best ResponseYou've already chosen the best response.0these are the choices xey1 =0 x+ey1=0 xy1=0 ex+y1=0 exy1=0

liizzyliizz
 4 years ago
Best ResponseYou've already chosen the best response.0i feel like when i took this test i did the work somewhat right, but when it came to switching it out i made a careless mistake so i want to know which one was it. :c

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1multiply both sides by e I meant :/

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1actually something is missing...

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1\[\large y=e^{1}(x1)\]\[\large ey=x1\]\[\large xey1=0\]but that's not a choice...

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1oh, it is the first one I didn't see that one on the first line

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0liizzyliizz the first choice is xey1 =0? or xey1 =0?

liizzyliizz
 4 years ago
Best ResponseYou've already chosen the best response.0first choice is xey1 =0

liizzyliizz
 4 years ago
Best ResponseYou've already chosen the best response.0well this helped thank you, I know what I did wrong. *sigh*
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