If y=log(sqrt(x) + sqrt(x-a)), then (dy)...

If `y=log(sqrt(x) + sqrt(x-a))`, then `(dy)/(dx)` is

A

`1/(sqrt(x) + sqrt(x-a))`

B

`1/(2sqrt(x) sqrt(x-a))`

C

`1/(sqrt(x) sqrt(x-a))`

D

`1/(2(sqrt(x)+ sqrt(x-a)))`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

If y=log(x+sqrt(x^2+a^2)) , then (d^2y)/(dx^2) is equal to

if y = e^(sqrt(x)) , then (dy)/(dx) equals

If y=log sqrt((1-cos x)/(1+ cos x)) , then (dy)/(dx) is

If y = log(tan sqrt(x)) , then the value of (dy)/(dx) is

If y=log((1-x^(2))/(1+x^(2)))," then "(dy)/(dx)=

If y =tan ^(-1) ((sqrt( a) -sqrt(x)) /( 1+sqrt( ax)) ) ,then (dy)/(dx)=

If y=sqrt(x+sqrt(y+sqrt(x+sqrt(y+...oo)))) , then (dy)/(dx) is equal to

If y = sqrt((1 + x)/(1 -x)) " then " (dy)/(dx) = ?