Questions in derivatives I want to check my answer

  • Thread starter Thread starter r-soy
  • Start date Start date
  • Tags Tags
    Derivatives
r-soy
Messages
170
Reaction score
1
Last edited by a moderator:
Physics news on Phys.org
Post the question and your answer, then?
 
1 and 2 are incorrect. 3 is correct.

There are two mistakes in #1.
(x + .5)2 \neq x2 + .25

The cancelling you did is incorrect. The only time you can cancel is when the same factor appears in the numerator and denominator. You canceled terms (things that are added together) rather than factors (things that are multiplied together).

In 2, there is an error when you multiplied (x2 - 1)(x2 + x + 1).
 

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...
View full post »

Similar threads

I want check my answer in derivatives (part 2)
Replies
3
Views
2K
I want check my answer in derivatives (part 1)
Replies
1
Views
1K
How Can We Solve These Integration Problems?
Replies
1
Views
1K
Existence of directional derivative
Replies
4
Views
1K
Checking nature of turning point of parametric equation
Replies
7
Views
2K
Multivariable calculus problem involving partial derivatives along a surface
Replies
9
Views
2K
Finding the directional derivative
Replies
11
Views
2K
Exam asks me for a case where ▲x > dx?
Replies
5
Views
1K
Trying To Use Squeeze Theorem To Prove Derivatives Are Equal
Replies
4
Views
1K
The first and second derivatives at various points on a drawn graph
Replies
22
Views
3K

Hot Threads

Recent Insights

Back
Top