Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

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

1 Answer

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)#

Related questions

See all questions in Product Rule

Impact of this question

6971 views around the world

You can reuse this answer
Creative Commons License