For y=\displaystyle {y}= arctan(3x)\displaystyle \text{arctan}{\left({3}{x}\right)}

dydx=\displaystyle \frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}=  

Type sin(x) for sin(x)\displaystyle {\sin{{\left({x}\right)}}} , cos(x) for cos(x)\displaystyle {\cos{{\left({x}\right)}}}, and so on.

Use x^2 to square x, x^3 to cube x, and so on.

Use ( sin(x) )^2 to square sin(x). Use ln( ) for the natural logarithm.

Use sqrt() for square root.

Do NOT simplify your answer.