How do you differentiate #f(x)= ( x - 2)/ ( cos x )# using the quotient rule?
1 Answer
Oct 31, 2017
Explanation:
#"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)=x-2rArrg'(x)=1#
#h(x)=cosxrArrh'(x)=-sinx#
#rArrf'(x)=(cosx-(x-2)(-sinx))/(cos^2x)#
#color(white)(rArrf'(x))=(cosx+(x-2)sinx)/(cos^2x)#
