# Homework Help: Calculate the derivative of: 8³√x

1. Nov 10, 2006

### -_-'

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!

2. Nov 10, 2006

### pete5383

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

3. Nov 10, 2006

### moose

4. Nov 10, 2006

### -_-'

i think its 8 times the cubed root of x

5. Nov 10, 2006

### SunGod87

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

6. Nov 10, 2006

### -_-'

cool thanks alot :D