# Homework Help: Easy derivative

1. Jul 5, 2009

1. The problem statement, all variables and given/known data

Find the derivative:

y=x^3-3(x^2+pi^2)

2. Relevant equations

3. The attempt at a solution

y'=3x^2-6x-6pi

But the book's answer emits -6pi

What am I doing wrong?

2. Jul 5, 2009

### Vagrant

Pi is a constant. Derivative of Pi^2 with respect to x is zero.

3. Jul 5, 2009

But it has power of two? Will that change anything?

So derivative of pi^n n-all real numbers is zero?

4. Jul 5, 2009

### Vagrant

Pi=3.14
Pi^2=9.87
Pi^3=31 and so on
As you can see that rasing a constant to real number power will result in a constant. Thus the derivative with respect to x will remain zero.

Anyway I think you should recheck the question.

5. Jul 5, 2009

Ok got it.

What you mean recheck the question

6. Jul 5, 2009

### Vagrant

Well I don't think that y' is equal to -6pi for the given question. So recheck the question.

7. Jul 5, 2009

8. Jul 5, 2009

### Vagrant

Check this question. Neither answer is right.

9. Jul 5, 2009

That was an attempt

First one is not even the answer its the problem

Last edited by a moderator: Apr 24, 2017
10. Jul 5, 2009

### Deneb Cyg

Oh I think I understand what's going on here. I think SELFMADE meant that "the book's answer 'omits' -6pi rather than 'emits'." Thus giving y'=3x^2-6x as the answer in the book, which is correct if I'm not mistaken.

11. Jul 5, 2009