What is the derivative of #f(x) = ln(sinx))#?
2 Answers
Apr 22, 2018
Explanation:
We'll apply the Chain Rule, which, when applied to logarithms, tells us that if
Here, we see
Apr 22, 2018
Explanation:
#"differentiate using the "color(blue)"chain rule"#
#"Given "f(x)=g(h(x))" then"#
#f'(x)=g'(h(x))xxh'(x)larrcolor(blue)"chain rule"#
#"here "f(x)=ln(sinx)#
#rArrf'(x)=1/sinx xxd/dx(sinx)=cosx/sinx=cotx#