can someone find the derivative of this equation

Question

anonymous · Answer

$$\left( 2x ^{2}-\sqrt{x} \right)^{2} $$

luigi0210 · Answer

Use chain rule

skullpatrol · Answer

That is not an "equation"

anonymous · Answer

I tried it, but I'm at a step and I don't know what to do. And I know i didn't put y=

anonymous · Answer

sorry

johnweldon1993 · Answer

what step are you stuck on?

anonymous · Answer

I have to use the product rule to solve it. So I did that. But some number have to cancel out and they don't since they all double if I add them.

anonymous · Answer

$$(2\sqrt{x}-1)(4x*2\sqrt{x}+1)(2x^{3/2}-1)$$or$$-10x^{3/2}+16x^3+1$$ http://www.wolframalpha.com/input/?i=d%2Fdx%28%282x%5E2-sqrt%28x%29%29%5E2%29 For future reference, http://www.wolframalpha.com.

anonymous · Answer

I know what the answer is.

anonymous · Answer

$$\left( 2x ^{2}-\sqrt{x} \right) \left( 2x ^{2}-\sqrt{x} \right) $$

Is that what I would get in order to use the power rule on it.

anonymous · Answer

sorry product rule

johnweldon1993 · Answer

AHH product rule thank you for saying that lol...I was like umm how??? but yes...if that is the only rule you can use then yes that is what you would have

so apply the product rule...

loser66 · Answer

why dont' you open like (a+b)^2 and then take derivative term by term?

loser66 · Answer

why product?

anonymous · Answer

ok, so I did the product rule and now I have this $$\left[ 8x ^{3}-4x ^{3/2}-x ^{3/2}+1/2 \right] + \left[ 8x ^{3}-4x ^{3/2}-x ^{3/2}+1/2 \right] $$

johnweldon1993 · Answer

that's the one they have to use...according to his instructions

anonymous · Answer

thats were i'm stuck at

loser66 · Answer

the question just ask "take derivative" not "apply product rule"

johnweldon1993 · Answer

previous post 

"I have to use the product rule to solve it. So I did that. But some number have to cancel out and they don't since they all double if I add them."

loser66 · Answer

ok, I am here, not in previous post!! sorry for that.

anonymous · Answer

$$\left[ 8x ^{3}-4x ^{3/2}-x ^{3/2}+1/2 \right] + \left[ 8x ^{3}-4x ^{3/2}-x ^{3/2}+1/2 \right] $$

thats what I have so far

luigi0210 · Answer

wouldn't it be better to use chain rule?

anonymous · Answer

I know I can use the chain rule, but I have to use the product rule. I'm studying for my final exam and if a question says use the product rule, i can't use the chain instead.

johnweldon1993 · Answer

Would be...so much faster...but they have to use the product rule to solve it

anonymous · Answer

can someone just help me and stop telling me to use the chain rule

anonymous · Answer

@johnweldon1993 please help