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anonymous
 3 years ago
find f'(x) if f(x) = ln(sinx)
anonymous
 3 years ago
find f'(x) if f(x) = ln(sinx)

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0derivative of sinx divided by sinx

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[\frac{d}{dx}[\ln(f(x))]=\frac{f'(x)}{f(x)}\] via the chain rule

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0f(x) = ln(sinx) y' = (1/sinx)(cosx) y' = cosx/sinx y' = cotx

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0f'(x)=d(lnsinx)/dx = {d(ln sinx) /dsinx} * {dsinx /dx} ={1/sinx} *{cosx} =cosx/sinx =cotx

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0why cot x and not tan x

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0there was an erroneous tangent floating around, it is gone

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0oh look, it came back!!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0U can write it interms of tan x too
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