How do you differentiate #f(x)=sinx/x#?
3 Answers
Explanation:
Given that,
The Quotient Rule for Diffn. states that,
Here,
Explanation:
#"differentiate using the "color(blue)"quotient rule"#
#"given " f(x)=(g(x))/(h(x))" then"#
#f'(x)=(h(x)g'(x)-g(x)h'(x))/(h(x))^2larr" quotient rule"#
#g(x)=sinxrArrg'(x)=cosx#
#h(x)=xrArrh'(x)=1#
#rArrf'(x)=(xcosx-sinx)/x^2#
Explanation:
We can use the quotient rule:
where
-
#u = sinx# -
#v = x# :
Te derivative of
The derivative of