## anonymous 3 years ago What is the derivative of 4pi and why?

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1. anonymous

0, because it's a constant.

2. anonymous

I thought it was 2pi

3. anonymous

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

4. anonymous

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

5. anonymous

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

6. anonymous

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.

7. anonymous

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