Question

@solomonzelman @satellite73

Answer 1

Find the derivative
@SolomonZelman @jdoe0001 @satellite73

Answer 2

question is?

Answer 3

I know the formula is \(\huge \frac{1}{u\ln a}{\frac{du}{dx}}\), and u = \(\sqrt{x+1}\)

But I don't know where to go from there.

Answer 4

a = 10

Answer 5

oooh i see the question is "find the derivative"

Answer 6

first off don't forget that \[\log_{10}(\sqrt{x+1})=\frac{1}{2}\log_{10}(x+1)\] that will make your life tons easier

Answer 7

OH!!!! I forgot about that rule...I think I can solve it now.

Answer 8

so just make \(u=x+1\) and do it in your head

Answer 9

if you have a bunch of time to waste you can do it your way and see that, after a bunch of algebra, you get the same thing
but then again you could spend that time eating a snack

Answer 10

\(\huge \frac{1}{(2x+1)\ln 10}\)

Answer 11

is that right?

Answer 12

hmm no

Answer 13

the 2 should be a factor of the denominator

Answer 14

so then 2(x+1) instead of 2x + 2

Answer 15

either way, but you wrote \(2x+1\)

Answer 16

Oh, oops. Well, I meant 2x + 2

Answer 17

So that's fine too?

Answer 18

then that is fine with parentheses yes

Answer 19

awesome, thank you

Answer 20

yw