1) if you have 4x^(-2), and you wanted to make the power positive, would you bring the coefficient to the bottom?
e.g. 1/(4x^2) -OR- 4/(x^2)
2) find the derivative of (sqrt(x)-1)/(sqrt(x)+1)
I understand the quotient rule and syntax, it just doesn't work out to the answer that I've been given... PROBABLY a simplification error... here's what I did:
what I get:
and the answer is 1/(x½(x½+1)^2)
3) why is it that when you look at the cuberoot function (x^(1/3)) from left to right, you see its slope is always positive (albeit undefined at x=0), yet the derivative (1/3x^(-1/3)) shows that its slope is negative from a domain of negative infinity to 0? should it not be positive?