(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I need in proving that the derivative (d[tex]^{n}[/tex]/dx[tex]^{n}[/tex])(sin^{4}x + cos^{4}x) = 4^{n-1}cos(4x + n[tex]\pi[/tex]/2)

3. The attempt at a solution

I understand implicit differentiation in basic problems but I get stump with the n exponent in the differentiation symbol; am I suppose to treat it as a 2nd, 3rd, 4th ... etc derivative?

If thats so, how should I prove that the left equation equals the right one.

So far I got to: 4(cos^{3}x - sin^{3}x)

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# Homework Help: Proving one Differentiation results to another

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