Question

derivitavie of y'=(sqrt) x

Answer 1

hint:
\[\sqrt x = x ^{1/2}\]

Answer 2

to find the derivative.. drop the power to the front of the x and then subtract the power by 1.
e.g. Find the derivative of \[y' = x^4\]
Therefore drop the power (4) to the front of the x and subtract 1 from the power (4)
And then we get:
\[y'' = 4x^3\]

Answer 3

Clue 2: It works for fractions, too.

Answer 4

Yes, this (the power rule) works for ever poer besides -1.

Because the derivative of 1/x is ln(x).