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Click the 'Go' button to instantly generate the derivative of the input function. The calculator provides detailed step-by-step solutions, facilitating a deeper understanding of the derivative process.
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The derivative of tan inverse x is given by (tan-1x)' = 1/(1 + x^2). The derivative of tan inverse x can be calculated using different methods such as implicit differentiation and the first principle of differentiation.
25 mar 2019 · The derivative of the inverse tangent function ($f(x)=\tan^{-1}{x}$), also commonly known as the arctangent function ($f(x)=\arctan{x}$), is: $$\frac{1}{1+x^2}.$$ Period. It's definitely not $\sec^{-2}{x}$ .
21 mar 2023 · The derivative of $tan^ {-1}x$ is equal to $\dfrac {1} {1+x^ {2}}$. Mathematically, the formula is written as $\dfrac {d} {dx} tan ^ {-1} x = (tan^ {-1}x)^ {‘} = \dfrac {1} {1+x^ {2}}$. We are basically differentiating the inverse function of a tangent with respect to the variable “$x$”.
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Free Derivative Calculator helps you solve first-order and higher-order derivatives. For trigonometric, logarithmic, exponential, polynomial expressions. Answers, graphs, alternate forms.
