11 дек. 2014 г. · Let y=sec−1x . by rewriting in terms of secant,. ⇒secy=x. by differentiating with respect to x ,. ⇒secytany⋅y'=1. by dividing by secytany ,. |
Hence, derivative of sec - 1 x is 1 x x 2 - 1 , x ≠ ± 1 , 0 . |
16 окт. 2020 г. · If it's sec x( sec-¹ x) then put sec x as u and the other one as v and solve it as d/dx(uv) where u and v are both dependent on x . |
22 мар. 2013 г. · Since sec−1(x) is the inverse of sec(x), we can use the derivate of inverse function rule (look here wiki). |
1 мар. 2023 г. · The formula for the derivative of sec inverse x is given by d(sec-1x)/dx = 1/[|x| √(x2 - 1)], where x belongs to the intervals (-∞, -1) and (1, ... |
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