How to differentiate this?

y=ln(sqrt(x+1))

1 Answer
Mar 22, 2018

(dy)/(dx) = 1/(2x+2)

Explanation:

we know d/dx( ln f(x)) = ( f'(x) ) / ( f(x) )

=> d/dx ( lnsqrt(x+1) ) = d/dx( 1/2 ln (x+1) )

=> 1/2( d/dx(1+x) )/(x+1)

=> 1/2 ( 1/(x+1) )

=> 1/(2x+2)