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Section 3.7 : Derivatives of Inverse Trig Functions

3. Differentiate \(y = 5{x^6} - {\sec ^{ - 1}}\left( x \right)\) .

Show Solution

Not much to do here other than take the derivative using the formulas from class.

\[\require{bbox} \bbox[2pt,border:1px solid black]{{\frac{{dy}}{{dx}} = 30{x^5} - \frac{1}{{\left|x\right|\sqrt {{x^2} - 1} }}}}\]