Question

How do you differentiate `y=4 sqrt(x)`?

Answer 1

`2/sqrtx`

Explanation:

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

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

Express `4sqrtx" as " 4x^(1/2)`

Thus y = `4x^(1/2)`

`rArrdy/dx=1/2xx4x^(1/2-1)=2x^(-1/2)=2/sqrtx`