Question

differentiate sqrtx

Answer 1

i got (1/2)sqrtx

Answer 2

The power rule
\[\Large \frac{d}{dx}x^n=nx^{n-1}\]
applies even in the most jarring of exponents (for as long as they are constant)

Answer 3

so i am right

Answer 4

Keep that, and the fact that
\[\Large \sqrt x = x^{\frac12}\] in mind and the answer will be clear ^_^

Answer 5

1/2sqrtx

Answer 6

\[\sqrt{x}/2\]

Answer 7

or would it be -sqrtx/2

Answer 8

That's not it :)
From the power rule, you should get
\[\Large \frac{d}{dx}\sqrt x = \frac{d}{dx}x^{\frac12}=\frac12x^{-\frac12} \]
And just simplify

Answer 9

so it would be (1/2)(1/sqrtx)

Answer 10

Yes, or simply put,
\[\Large \frac1{2\sqrt x}\] as @vjordillo has put it.

Answer 11

ok