Question

what is the derivative of lnsinx

Answer 1

ln (sin x)

we know that the derivative of ln u = 1/u

Answer 2

derivative of \[\ln x= 1/x\]
But then we have another function inside ln so chain rule my friend

Answer 3

therefore derivative of ln (sin x) = 1/sin x


but wait! you still have to take the derivative of sin x

Answer 4

so go and take the derivative of sin x what do you have??

Answer 5

Then multiply it to 1/sinx

Answer 6

^that

Answer 7

do you get it @demisew12 ??