Find dy/dx.

$\displaystyle y= sin^5 x - cos^3 x$

The exponent 5 is negative. I don't know the LaTex.

I understand the chain rule. I do not understand how to do this.

Which function is outer f(x) and which is inner g(x)?

Thanks!

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- Nov 19th 2007, 08:52 PMTruthbetoldChain Rule
Find dy/dx.

$\displaystyle y= sin^5 x - cos^3 x$

The exponent 5 is negative. I don't know the LaTex.

I understand the chain rule. I do not understand how to do this.

Which function is outer f(x) and which is inner g(x)?

Thanks! - Nov 19th 2007, 08:56 PMJhevon
- Nov 19th 2007, 09:06 PMTruthbetold
Won't the derivative of -5 equal 0?

Constant rule.

That doesn't make much sense, though. Something's wrong.

What do you do for this?

Thanks! - Nov 19th 2007, 09:11 PMJhevon
the derivative of a constant is zero. where do you see a constant here? 5 is a power, for all intents and purposes, it is a part of the sine function we are dealing with. if it was just a 5 by itself, then yes, it goes to zero, that is not the case here. use the chain rule (with the power rule)