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

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

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

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

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

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

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

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