Homework SourseFind the derivative of fx 6xarctanx fx Solution ddxfx ddx6
Find the derivative of f(x) = 6x*arctanx
f\'(x)= ???
f\'(x)= ???
Solution
d/dx(f(x)) = d/dx(6 x tan^(-1)(x)) = | f\'(x) = d/dx(6 x tan^(-1)(x)) = | f\'(x) = 6 (d/dx(x tan^(-1)(x))) = | f\'(x) = 6 (x (d/dx(tan^(-1)(x)))+tan^(-1)(x) (d/dx(x))) = | f\'(x) = 6 (x (d/dx(tan^(-1)(x)))+tan^(-1)(x)) = | f\'(x) = 6 (x 1/(x^2+1)+tan^(-1)(x))
