Question

Simply expression with positive exponents: (1/x+h)-(1/x)/h

Answer 1

looks like 1st principles

is it

\[\frac{ \frac{1}{x +h} - \frac{1}{x}}{h} \]

Answer 2

yes

Answer 3

Get a common denominator for all terms:
1/x + h -> h/hx + h^2x/hx

(1/x)/h is equal to 1/hx

Add all terms:
h/hx + (h^2)x - 1 all this is over hx

(h^2)x + h -1
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hx