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)

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)

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

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