Chain rule or Power rule or both? Trig derivative

**Truthbetold** · December 12th 2007, 04:13 PM

$y=\sin^2{x}$

Do I use the power rule for 2 sin x
or
the chain rule for 2sin x times cos x
or
the power chain rule for 2 sin x times 1?

Thank you!

**Krizalid** · December 12th 2007, 05:15 PM

$f'(x)=2\sin x\cdot(\sin x)'.$

Chain rule, that's all.

**colby2152** · December 13th 2007, 05:14 AM

Originally Posted by Truthbetold

$y=\sin^2{x}$

Try treating $y=\sin^2{x}$ as $g(x)={f(x)}^2$ where $f(x)=sin(x)$ . Now find $g'(x)$ .

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