Question

how to derive (x^2-2x)^(1/2)

Answer 1

use the chain's rule

Answer 2

derivative of y = sqrt(f(x)) is
y' = (f(x))'/(2sqrt(f(x)))

Answer 3

so the numerator of that equation is f(x) prime?

Answer 4

(f(x)) ' = f ' = derivative of f(x)

Answer 5

Im guessing you ignore the radical for using that formula right?
so you would get (2x-2)/2sqrt(x2-2x) ?

Answer 6

yes, that's right. then simplify again

Answer 7

simplifying to (x-2)/(sqrt(x^2-2x))?

Answer 8

correct again, or you can do rationalize it

Answer 9

thank you!

Answer 10

you're welcome