okay so f(x)= x((sqrtx) -1)
the square root only applies to x. not 1
okay so (1)(√x-1)= √x-1
(x)(√x-1)' is essentially (x)(1/2x^-1/2) is it not?
There for we have
√x-1 + (x)(1/2x^-1/2)
Now I am not sure if I am doing this right but
(x)(1/2x^-1/2)= 1/2x^1/2
Assuming i am right then we have...
Homework Statement
So f(x)= x(√x-1)Homework Equations
The Attempt at a Solution
So i understand that the derivitive of a mutiple is (f x g) prime
f'xg + fxg'
I got
(1)(√x-1) + (x)(1/2x^-1/2)
now I am stuck...
ive used the equation (f(x)-f(x))/x-a and i ended up with x^3/2 -1
but...