Differentials - not understanding directions

  • Thread starter Thread starter lp27
  • Start date Start date
  • Tags Tags
    Differentials
lp27
Messages
4
Reaction score
0

Homework Statement


Find dy and evaluate dy for the given value x and dx
.

y = x^3 - 3x, x = 2, dx = 0.05

Homework Equations





The Attempt at a Solution


I have no idea how to begin this problem.
I assumed that I find y'.
Then plug in x into y'.
Following that, I am not sure.
 
Physics news on Phys.org
\mathrm{d}y = \frac{\mathrm{d}y}{\mathrm{d}x}\mathrm{d}x = y'\,\mathrm{d}x
 
Thank you, that was straight forward.
 
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