I'm just wondering if theres a difference between finding the derivative of $\displaystyle Sin^3(2x+1)$ and $\displaystyle Sin(2x+1)^3$ and if so whats the main difference?

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- Oct 25th 2009, 01:09 PMVitaXTrig/Chain Rule Derivatives
I'm just wondering if theres a difference between finding the derivative of $\displaystyle Sin^3(2x+1)$ and $\displaystyle Sin(2x+1)^3$ and if so whats the main difference?

- Oct 25th 2009, 01:10 PMe^(i*pi)
- Oct 25th 2009, 01:11 PMJameson
- Oct 25th 2009, 01:15 PMVitaX
When I input them both on this wolfram site I get different answers

http://www.wolframalpha.com/input/?i=d/dx+%28sin%282x%2B1%29%29^3

http://www.wolframalpha.com/input/?i=d/dx+sin%28%282x%2B1%29^3 - Oct 25th 2009, 01:17 PMe^(i*pi)
It could be seeing the second one as $\displaystyle sin[(2x+1)^3]$

- Oct 25th 2009, 01:22 PMVitaX
Well say you have $\displaystyle Sin^2(2x+2)$ and $\displaystyle sin(2x+2)^2$ I thought the difference was the first equation the entire thing is squared but the second equation only $\displaystyle (2x+2)$ is squared. That wrong?