Help Solving Derivatives using Tables and Equation on Tangent Line

samMD
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Help! Solving Derivatives using "Tables" and Equation on Tangent Line

1. I got a worksheet that was given to me on Derivatives to finish for homework but hardly understand it since my teacher assigned it for the same night and she had taught it
I was wondering if an explanation on how to do each problem can be given..Thank You

Pictures of the Worksheet

Side 1 http://imgur.com/JjYab"
Side 2 http://imgur.com/Uwmyl"

Homework Statement



Getting Derivatives using the Table

Homework Equations



?

The Attempt at a Solution



...
 
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hi samMD! :wink:

looks like a chain rule problem …

show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 


There's a problem with 9(a), but (b) and (c) should come out fine. You should also be able to show what is the problem with 9(a).
 


The teacher showed us this like the first day after teaching us I am kinda lost so that's why I came here if you can please show me and start I think I will be able to do em..
 
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...
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