Question

What is the derivative of 4pi and why?

Answer 1

0, because it's a constant.

Answer 2

I thought it was 2pi

Answer 3

Why do you think it'd be \(2\pi\)? Explain how you got to the conclusion.

Answer 4

I am working on this problem right now dealing with Area. This is what it looks like: \[c^2\div2\pi \] and the answer books says the derivative is C/2pi

Answer 5

wait.....C^2/4pi

Answer 6

That's an entirely different problem. You actually have a variable, whose derivative is \(2C\), multiplying that by \(\frac{1}{4\pi}\) gives you:
\[
\frac{2C}{4\pi}=\frac{C}{2\pi}
\].
So, to answer your original question, yes:
\[
\frac{d}{dC}4\pi=0
\]BUT:
\[
\frac{d}{dC}\frac{C^2}{4\pi}=\frac{2C}{4\pi}=\frac{C}{2\pi}
\]Which is different.

Answer 7

always remember that the derivative of constant function is 0 ( zero ) .. 4pi is constant function...