- #1
courtrigrad
- 1,236
- 2
Hello all:
I need help in finding the derivative of:
log( sqrt(1+ log x) - sin x )
I know that derivative of log x is 1/x.
1/ sqrt(1 + logx) - sin x ) = sqrt(1+log x) + sin x / ( 1 + log x - sin ^2 x)
Then I found derivative of inside expression and multiplied with the previous derivative. I get something almost the same as the answer, but I can't seem to simplify it.
The answer is:
(1- 2x)* sqrt(1 + log x cos x) / 2x * sqrt(1 + log x)* sqrt(1 + log x - sin x)
Any help is greatly appreciated
Thanks!
I need help in finding the derivative of:
log( sqrt(1+ log x) - sin x )
I know that derivative of log x is 1/x.
1/ sqrt(1 + logx) - sin x ) = sqrt(1+log x) + sin x / ( 1 + log x - sin ^2 x)
Then I found derivative of inside expression and multiplied with the previous derivative. I get something almost the same as the answer, but I can't seem to simplify it.
The answer is:
(1- 2x)* sqrt(1 + log x cos x) / 2x * sqrt(1 + log x)* sqrt(1 + log x - sin x)
Any help is greatly appreciated
Thanks!