Please help with one easy question . . (1 Viewer)

hon1hon2hon3

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HELP ! This question looks so easy but yet i cant do it, i know i am over compliccated it.

Defrentiate ln ( Sin^-1 x)

I remember got something to do with "u", i used u = Sin^-1 x and du/dx = 1 / square root 1 - x square. then i am stuck . . defrentiate ln x , you get 1/x . . soo is the answer just . . . square root 1 - x square . . ? dosent look right to me . . . ZOMG . . .:jaw:
 

lyounamu

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hon1hon2hon3 said:
HELP ! This question looks so easy but yet i cant do it, i know i am over compliccated it.

Defrentiate ln ( Sin^-1 x)

I remember got something to do with "u", i used u = Sin^-1 x and du/dx = 1 / square root 1 - x square. then i am stuck . . defrentiate ln x , you get 1/x . . soo is the answer just . . . square root 1 - x square . . ? dosent look right to me . . . ZOMG . . .:jaw:
y = ln (sin-1(x))
y' = 1/SQRT(1-x^2) . /sin-1(x))
= 1/SQRT(1-x^2)sin-1(x)
 

hon1hon2hon3

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Zomg , i got that answer in the first place, and i was thinking , can u have sin^-1 in your answer . . then i thought no . . . . ZOMg . . thx soo much btw >_>
 

tommykins

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回复: Re: Please help with one easy question . .

if y = ln f(x)
then dy/dx = f'(x)/f(x)
 

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