Question

What is the derivative of `5(sqrt(x))`?

Answer 1

`5/(2sqrtx)`

Explanation:

Express the function in exponent form and 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)|)))`

`rArr5sqrtx=5x^(1/2)`

`rArrd/dx(5x^(1/2))`

`=5/2x^(-1/2)`

`=5/(2sqrtx)`