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How do you use the product rule to differentiate #y=cos(x)*sin(x)# ?

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Oct 20, 2014

#y=u*v=cos(x)*sin(x)#

#u'=-sin(x)#

#v'=cos(x)#

#y'=(uv)'=u'v+uv'=-sin(x)*sin(x)+cos(x)*cos(x)#

#y'=(uv)'=u'v+uv'=-sin^2(x)+cos^2(x)#

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