How do you differentiate #f(x)=sin(pi/x)#?
1 Answer
Nov 28, 2017
Explanation:
#"differentiate using the "color(blue)"chain rule"#
#"given "f(x)=g(h(x))" then"#
#f'(x)=g'(h(x))xxh'(x)#
#f(x)=sin(pi/x)#
#rArrf'(x)=cos(pi/x)xxd/dx(pix^-1)#
#color(white)(rArrf'(x))=-pi/x^2cos(pi/x)#
