Question

How to find the derivative of @dan815 @hartnn @freckles

Answer 1

\(\large g(x)=\Large\sqrt{\frac{x+3}{2}}\)

Answer 2

the denominator \(\sqrt 2\) is a constant, you can bring that out.

just try to get the derivative of \(\sqrt{x+3}\)

Answer 3

Oh, okay. So would I change it to \(\Large (x+3)^{1/2}\)

Answer 4

And use the chain formula?

Answer 5

yes,
now you'll have to use the chain rule,
and the fact that
\(\Large (x^n)' = n x^{n-1}\)

Answer 6

So, would it be \(\Large\frac{1}{2\sqrt{x+3}}\)

Answer 7

right
and finally put the \(\sqrt 2\) in the denominator

Answer 8

Okay, so then \(\Large\frac{1}{2\sqrt{2x+6}}\)

Answer 9

right or
\(\Large\frac{1}{2\sqrt{2(x+3)}}\)

Answer 10

Is there a preferred way?

Answer 11

whatever you feel is more simplified

Answer 12

Okay, thank you

Answer 13

welcome ^_^