Question

What is the derivative of `sqrt(3x)`?

Answer 1

`sqrt(3)/(2sqrt(x)`

Explanation:

If `y=sqrt(3x)`

`dy/dx= (d (sqrt(3)*sqrt(x)))/dx`

`color(white)("XXX")=sqrt(3)*(d sqrt(x))/dx`

`color(white)("XXX")=sqrt(3)* (dx^(1/2))/dx`

`color(white)("XXX")=sqrt(3)*1/2x^(-1/2)`

`color(white)("XXX")=sqrt(3)*1/(2sqrt(x))`