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This is probably real simple, just Im confused the question is Differentiate the following

y=sin^2 x - cos^2 x

I know you need to use just f'(x)+g'(x)

and I know the derivate of sinx is cosx and derivative of cosx is -sinx.... but what do you do with the sin^2.... is the derivate of sin^2x just cos^2x??? and derivate of cos^2x just -sin^2x? THANKS