Question

what is the derivative of x^2(2x+1)^(1/2)

Answer 1

\[x ^{2}(2x1)^{1/2}\] This is the equation

Answer 2

(2x+1)

Answer 3

yes that is the equation

Answer 4

Do you know the product rule?

Answer 5

yes I do

Answer 6

OK so we are looking at x^2 times (2x+1) ^ 1/2 correct?

Answer 7

yes

Answer 8

would I use the product rule?

Answer 9

this is a simple product rule question. if you want, expand it all out so it becomes a power rule

Answer 10

Yes use the product rule.

Answer 11

product rule = f'(g)(fx)+f(g)f'(x)

Answer 12

in this case
x^2 => f(g)
(2x+1)^(1/2) =>f(x)

Answer 13

oh ok thank you so much!

Answer 14

if you are still having trouble let me know and we can go over it step by step

Answer 15

I'm just confused on what to do after the product rule

Answer 16

alright i am going to give you a link for virtual whiteboard. go on it and i will explain it to you over there

Answer 17

I got it to \[2x(2x+1)+\frac{ 1 }{ 2 }(2x+1)^{\frac{ -1 }{ 2 }}(2)(x ^{2)}\]

Answer 18

would that be correct?

Answer 19

lets see

Answer 20

no that is wrong.

Answer 21

the answer is 2x(2x+1)^(1/2) + (x^2)*(2x+1)^(-1/2)