Question

Differentiate
$\frac{1}{} ln(x \sqrt{x + 1)}$
​

Answer 1

Let y= ln (sqrt (x-1) (x+1))

y=1/2 ln ((x-1) (x+1))

y= 1/2 ln (x-1)+1/2 ln (x+1)

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