How do you differentiate f(x)=x−2sinx using the quotient rule?
1 Answer
Apr 18, 2016
Explanation:
differentiate using the
quotient rule If f(x)
=g(x)h(x) then f'(x)=h(x).g'(x)−g(x).h'(x)(h(x))2
------------------------------------------------------------------------ g(x) = x - 2
⇒g'(x)=1 h(x) =
sinx⇒h'(x)=cosx
--------------------------------------------------------
substitute these values into f'(x)
⇒f'(x)=sinx.1−(x−2)cosxsin2x