Differentiate y=(x+1)cosx?

1 Answer
Jim G.
Sep 9, 2017

#dy/dx=cosx-(x+1)sinx#

Explanation:

#"differentiate using the "color(blue)"product rule"#

#"given "y=g(x)h(x)" then"#

#dy/dx=g(x)h'(x)+h(x)g'(x)larr" product rule"#

#g(x)=x+1rArrg'(x)=1#

#h(x)=cosxrArrh'(x)=-sinx#

#rArrdy/dx=(x+1)(-sinx)+cosx.1#

#color(white)(rArrdy/dx)=cosx-(x+1)sinx#

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