Question

derivative of sqrt(x)

Answer 1

from the definition??

Answer 2

so I was curious why the answer was \[\frac{1}{2\sqrt{x}}\] but that would be because \[x^1/2\] goes to x^-1/2 which would be that answer right?

Answer 3

\[\frac d{dx}(x^n)=nx^{n-1}\]your exponent is right, but think about your coefficient

Answer 4

sqrt x = x^1/2
Bring the 1/2 to the front, subtract the power by 1
so 1/2 x^-1/2
\[1/(2\sqrt{x})\]

Answer 5

yup so\[\frac{1}{2 \sqrt{x}}\]

Answer 6

right :)

Answer 7

:)