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love_math Group TitleBest ResponseYou've already chosen the best response.1
derivative of sinx divided by sinx
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
\[\frac{d}{dx}[\ln(f(x))]=\frac{f'(x)}{f(x)}\] via the chain rule
 2 years ago

franciscanmonk Group TitleBest ResponseYou've already chosen the best response.0
f(x) = ln(sinx) y' = (1/sinx)(cosx) y' = cosx/sinx y' = cotx
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.1
f'(x)=d(lnsinx)/dx = {d(ln sinx) /dsinx} * {dsinx /dx} ={1/sinx} *{cosx} =cosx/sinx =cotx
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.1
got it?
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
oops? @satellite73
 2 years ago

jpjones Group TitleBest ResponseYou've already chosen the best response.0
why cot x and not tan x
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
there was an erroneous tangent floating around, it is gone
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
oh look, it came back!!
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.1
U can write it interms of tan x too
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.1
BUT: f'(x)= 1/tan x
 2 years ago
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