Calculate the derivative of: 8³√x

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I'm not sure how to calculate the derivative of: 8³√x :if anyone can help me or show me how to calculate the derivatives of similar problems such as this it would be greatly appreciated. Thanks

It says in the back of the book that the answer is: 8/3³√x¹¹

I have never done one of these problems before and this is how i tried to approach it:
8³√x
dy/dx = 8 X 1/2 ^3 x^1/2 - 1
= 8/2^3 x^-1/2

Thats what i kinda thought at first but it is so wrong

I've looked through the worked examples in the book and there are no problems like this. This is the only problem out of this section of exercises that I am having trouble with...its really disapointing because it broke me groove and its really annoying me that I can't work it out!

 

[pete5383]

Is that 8^3 * sqrt(x), or 8 times the cubed root of x?

 

[moose]

http://en.wikipedia.org/wiki/Calculus_with_polynomials#The_power_rule

That's the correct power rule.

 

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Is that 8^3 * sqrt(x), or 8 times the cubed root of x?

i think its 8 times the cubed root of x

 

[SunGod87]

Write it as 8.x^(1/3) and differentiate normally.

 

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cool thanks a lot :D