Question

Find the derivative of 6x*arcsin(x)

Answer 1

\(\Large\bf \color{#CC0033 }{\text{Welcome to OpenStudy! :)}}\)

Answer 2

Using product rule to set it up,
\[\Large\bf\sf \left(6x \arcsin x\right)'\quad=\quad \color{royalblue}{\left(6x\right)'}\arcsin x+6x\color{royalblue}{\left(\arcsin x\right)'}\]

Answer 3

Just gotta find the derivatives of the blue parts.

Answer 4

Remember your inverse sine derivative?