The function f is defined by fx=5/(1-3x) for x>1 find the expression f'(x)?
1 Answer
Nov 19, 2017
Explanation:
#"differentiate using the "color(blue)"chain rule"#
#"given "f(x)=g(h(x))" then "#
#f'(x)=g'(h(x))xxh'(x)larr"chain rule"#
#f(x)=5/(1-3x)=5(1-3x)^-1#
#rArrf'(x)=-5(1-3x)^-2xxd/dx(1-3x)#
#color(white)(rArrf'(x))=15(1-3x)^-2=15/(1-3x)^2#
