Determine the slope of the tangent line to the curve defined by y = tan ⁡ − 1 x y=\tan^{-1}x at the point where x = 1 x=1 .

Derivatives of Inverse Trigonometric Functions

6. Derivatives of Inverse, Exponential, & Logarithmic Functions / Derivatives of Inverse Trigonometric Functions / Problem 1

Problem 1

Determine the slope of the tangent line to the curve defined by $y = \tan^{- 1} x$ at the point where $x equals 1$ .

$1$

$2$

$\frac{1}{2}$

$- \frac{1}{2}$