Question

How do you differentiate `(sqrt x)(x-1)`?

Answer 1

`x^(3/2)-x^(1/2) ,(d)/(dx)`

= `3/2x^(1/2)-1/(2x^(1/2)`

Explanation:

By expanding the equation, you add the indices together of root x and x, which is 0.5 plus 1 which = 1.5 or 3/2. Then obviously root x times 1 is root x. You then differentiate the equation. Done!