How do you differentiate #f(x)=xsinx# using the product rule?
2 Answers
Jul 25, 2016
hi
PRODUCT RULE SAYS
if to diffrentiate "uv"( here i will take w.r.t to x)
i.e
i.e u must know
diffrentiation of
here..,
**diffrentiation of x=(1)
diffrentiation of" sinx" is "
NOW,
=
So diffrentiation of F(X)=x sin(x)-=x cos(x)+sin(x)
Nov 12, 2017
Explanation:
#"given "f(x)=g(x)h(x)" then"#
#f'(x)=g(x)h'(x)+h(x)g'(x)larrcolor(blue)"product rule"#
#g(x)=xrArrg'(x)=1#
#h(x)=sinxrArrh'(x)=cosx#
#rArrf'(x)=xcosx+sinx#