Prove that the the DERIVATIVE of p(x) is ?

[Stanc]

Prove that the the DERIVATIVE of p(x) is...?

Homework Statement

If p(x) = (2x+8) / (√x) Prove that p'(x) is (x√x - 4√x)/x

The Attempt at a Solution

I keep getting stumped, I cannot simplify it down

 

[Dick]

Homework Statement

If p(x) = (2x+8) / (√x) Prove that p'(x) is (x√x - 4√x)/x

The Attempt at a Solution

I keep getting stumped, I cannot simplify it down

Well, what's your answer? Show your work. I think the given answer is wrong.

 

[Stanc]

Well, what's your answer? Show your work. I think the given answer is wrong.

Heres what I got: (2x+8)(-1/2) [x^(-3/2)] + {x^(-1/2)} (2) but from here I don't know where to go...

 

[SteamKing]

You can try simplifying it algebraically. Remember, you are trying to match a given answer.

 

[Stanc]

You can try simplifying it algebraically. Remember, you are trying to match a given answer.

What do you mean by simplifying it algebraically?? Can you give me a start?

 

[Dick]

What do you mean by simplifying it algebraically?? Can you give me a start?

You want to write it as (something)/x. Multiply what you've got by x/x.