Question

what is (x+h)^1.5

Answer 1

(x+h)^(3/2) = sqrt[(x+h)^3] = (x+h) sqrt(x+h)

Answer 2

you want the series expansion?

Answer 3

I suppose not, because I don't even know what that is, but, I am trying to find the derivate of f(x)=(6x)^1.5-(4x)^5
therefore what is f'(x)=lim h>0 {[6(x+h)^1.5-4(x+h)^5] - [(6x)^1.5-(4x)^5]}/h

Answer 4

dervative*

Answer 5

DERIVATIVE*

Answer 6

curiously it can be done with the series, but there are other tricks

Answer 7

srry I cant be of more help now, g2g, but if you are interested in the series method do http://www.wolframalpha.com/input/?i=lim+h+to+0+%28 [6%28x%2Bh%29^1.5-4%28x%2Bh%29^5]+-+[%286x%29^1.5-%284x%29^5]%29%2Fh