Question

d/dx lnsinx-(1/2)(sin^2)(x)

Answer 1

\[\frac{d}{dx}\ln(\sin(x))-\frac{1}{2}\sin^2(x)\]??

Answer 2

yes!

Answer 3

ok lots of chain rule here

Answer 4

\[\frac{d}{dx}[\ln(x)]=\frac{1}{x}\] so
\[\frac{d}{dx}[\ln(f(x))]=\frac{f'(x)}{f(x)}\]

Answer 5

I know d/dx ln(sin(x)) is simplified to cos(x)/sin(x).
Just not sure where to start on the second half

Answer 6

I figured it out! Thank you!