Question about should I do exponent rule before quotient rule for derivative

Torshi
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Homework Statement



([2x+1/4x+3]^2)

Homework Equations


Exponent and quotient rule


The Attempt at a Solution


Would this become:

2* (2x+1/4x+3) then do the quotient rule?
 
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Torshi said:

Homework Statement



([2x+1/4x+3]^2)

Homework Equations


Exponent and quotient rule


The Attempt at a Solution


Would this become:

2* (2x+1/4x+3) then do the quotient rule?

Yes, but what you wrote is incorrect, due to missing parentheses. 2x + 1/4x + 3 means this:
2x + (1/4)x + 3

Do you mean (2x + 1)/(4x + 3)?
 

Thread 'Finding the nth roots of a complex number'

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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