Section 3.7 : Derivatives of Inverse Trig Functions
2. Differentiate \(g\left( t \right) = {\csc ^{ - 1}}\left( t \right) - 4{\cot ^{ - 1}}\left( t \right)\) .
Show SolutionNot much to do here other than take the derivative using the formulas from class.
\[\require{bbox} \bbox[2pt,border:1px solid black]{{g'\left( t \right) = - \frac{1}{{\left|t\right|\sqrt {{t^2} - 1} }} + \frac{4}{{{t^2} + 1}}}}\]