What Is the Derivative of Y = Arctan(6x)?

By Staff WriterLast Updated Mar 25, 2020 7:57:28 AM ET

The derivative of y = arctan(6x) is 6/(1 + 36 x^2). To arrive at this answer, it is simply a matter of using the formula given for finding the derivative of the inverse tangent function. The formula is that for arctan (u) the derivative is du/(1 + u^2).

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