Question

PLEASE HELP. find the derivative of this inverse trig function

Answer 1

`f(x)=3x^7\csc^(-1)(x) \\\\[-0.35em] ~\dotfill\\\\ \cfrac{df}{dx}=3\stackrel{ \textit{product rule} }{\left(7x^6\cdot \csc^(-1)(x)~~ + ~~x^7\cdot \cfrac{-1} \right)} \\\\\\ \cfrac{df}{dx}=3\left(7x^6 \csc^(-1)(x)~~ - ~~ \cfrac{x^7}x \right) \\\\\\ ~\hfill~\cfrac{df}{dx}=21x^6 \csc^(-1)(x)-3x^7\cfrac{1}x~\hfill~`