Question

what is the derivative of sqrt(x)?

Answer 1

1/(2sqrtx)

Answer 2

where does the 2 come from?

Answer 3

(x)^1/2

power thingy
1/2 (x)^1/2 -1

1/2 - 1 = -1/2

so
[(x)^-1/2]/2

make the exponent positive by bringing x to the denom

1/2(x)^1/2

1/2(sqrt x)