Question

Derivative of

y=x(x^2+3x)^1/2

Answer 1

what did you try so far?

Answer 2

Tried the chain rule but I messed it up somewhere. New to using it :(, I think we need to use chain rule more than once?

Answer 3

can you write the general form of a derivative?

Answer 4

P to the product

Answer 5

like d/dx x^n = ?

Answer 6

You have to use product rule

Answer 7

\[fg = f'g+g'f\]

Answer 8

Probably more than one way supposed to use chain rule though

Answer 9

Yes, you have to use chain rule within the product rule

Answer 10

its the product of 2 functions

Answer 11

\[x \sqrt{x^2+3x}\] is this the problem?

Answer 12

If so you have to use product rule and chain rule

Answer 13

you use the chain rule to differentiate the radical part

Answer 14

x(x^2+3x)^(1/2) yeah. Okay let me try hold on, thanks friends

Answer 15

x*(1/2(x^2+3x))^(-1/2)*2x+3+(x^2+3x)^(1/2)

Is what I got but it's wrong, anyone see my error?

Answer 16

yes,

Answer 17

\[x\cdot\frac{1}{2}(x^2+3x))^{-1/2}\cdot(2x+3)+(x^2+3x)^{1/2}\]

Answer 18

maybe they want you to write it with positive exponents?

Answer 19

Nope that shouldn't be the problem. We have the same answer right?