hi, I did something wrong but I do not what:
y = f(x)=1/sqrt(x) = x^-1/2
slope m= lim h->0 {f(x+h) - f(x)]/h
m=f'(x)= lim h->0 [1/sqrt(x+h) - 1/sqrt(x)]/h
then I multiply by [sqrt(x+h) + sqrt(x)] / [sqrt(x+h) + sqrt(x)]
m= lim h->0 {[x-(x+h)]/[sqrt(x+h)*sqrt(x)]} / h
m= lim h->0 h / [h*(sqrt(x+h)*sqrt(x)] = -1/2sqrt(x)
This is wrong, it must be -1/ 2sqrt(x^3)
Thanks for any help