Applying terms in square roots -yeesh

Parabox
Messages
10
Reaction score
0
http://img522.imageshack.us/img522/7522/mat4vj.gif where X is the number into the term http://img524.imageshack.us/img524/2985/prob23ei.gif
Computer F'(6)

The square root is what's giving me my most difficulty. I don't know how to apply the term with a square root and computer f'(6). I've about given up, but it's important to know. Help is needed for this one.
 
Last edited by a moderator:
Physics news on Phys.org
Do you know the chain rule?

Think of the general case where f(x) = \sqrt{ax + b} = (ax+b)^{0.5}. Now let u=ax+b and apply the chain rule.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top