Question

What is the derivative of `f(x)=sqrt(1+log_3(x)` ?

Answer 1

`d/dx(sqrt(1+log_3x))`

`=((d/dx)(1+log_3x))/{2sqrt(1+log_3x)}`

`=((d/dx)(1+logx/log3))/{2sqrt(1+log_3x)}`

`=(1/(xln3))/{2sqrt(1+log_3x)}`

`=1/(2xln3sqrt(1+log_3))`