f x x2 arctan 5x Find F x in words f of x equals x square a
f (x) = x^2 arctan (5x) Find F\' (x)
in words f of x equals x square arctn (5x)
in words f of x equals x square arctn (5x)
Solution
f (x) = x^2 arctan (5x)
f\'(x) = 2x arctan (5x) + x2 (1/(1 + (5x)2))(5x)
f\'(x) = 2x arctan (5x) + (5x3)/(1 + 25x2)
