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The derivative of arctan x is represented by d/dx(arctan x) (or) d/dx(tan-1 x) (or) (arctan x)' (or) (tan-1 x)'. Its value is 1/(1+x 2 ). We are going to prove it in two methods in the upcoming sections.

Jul 26, 2024 · Derivative of the arc tangent function is denoted as tan-1(x) or arctan (x). It is equal to 1/ (1+x2). Derivative of arc tangent function is found by determining the rate of change of arc tan function with respect to the independent variable.

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The derivative of arctan returns an algebraic expression. We can use this expression to find the derivative of inverse trigonometric functions. In our discussion, we’ll understand how to differentiate arctan and use the new derivative rule to differentiate more complex functions.

In this lesson, we go over how to find the derivative of arctan through two different methods. We then go over some example problems with solutions.

The arctan function is denoted as $\\arctan(x)$ or $\\tan^{-1}(x)$, and it represents the angle whose tangent is $x$. The domain of the arctan function is the set of all real numbers, and its range is the interval $(-\\pi/2, \\pi/2)$.

Learn how to derive differentiation of tan^-1(x) or arctan(x) with respect to x from first principle to use derivative formula of inverse tan function in calculus