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Mathematics 13 Online
OpenStudy (zenmo):

Log. functions derivative. Is this correct?

OpenStudy (zenmo):

\[f(x)=\ln(\sin^2x)\]

OpenStudy (zenmo):

\[f'(x) = \frac{ 1 }{ \sin^2x }\times 2cosxsinx\] =\[\frac{ 2cosxsinx }{ \sin^2x }\]

OpenStudy (zenmo):

@zepdrix

OpenStudy (zenmo):

Zep, can you check this for me?

OpenStudy (zenmo):

This is an even problem in the book, so can't check the answer :(

zepdrix (zepdrix):

Looks good so far :o

OpenStudy (zenmo):

okay thanks! :D

zepdrix (zepdrix):

Cancel out a sine as a final step maybe, ya? :)

OpenStudy (zenmo):

Can I write it as 2cotx?

zepdrix (zepdrix):

Good good good.\[\large\rm =2\frac{\cos x}{\sin x}\quad=2\cot x\]

OpenStudy (zenmo):

okay. cool cool . thanks :)

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