Question

How do you find the derivative of `f(u)=sqrtu+2`?

Answer 1

`f'(u)=1/(2sqrtu)`

Explanation:

differentiate using the `color(blue)"power rule"`

`color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(d/dx(ax^n)=nax^(n-1))color(white)(2/2)|)))`

express `sqrtu" in the form " u^(1/2)`

`f(u)=u^(1/2)+2`

`rArrf'(u)=1/2u^(-1/2)+0=1/(2u^(1/2))=1/(2sqrtu)`