Question

Differentiate the function f(x) = ln(sinx)
I will post my attempt

Answer 1

so \[\frac{ d }{ dx } (\ln(sinx))\] would be \[\frac{ 1 }{ sinx } * (\frac{ d }{dx }(sinx))\]

this comes out to \[\frac{ 1 }{ sinx } * cosx
\]

that equates to \[\frac{ cosx }{ sinx }\] which is the same as cotx

Answer 2

is that correct?

Answer 3

yup :)

Answer 4

thank you