9 янв. 2020 г. · Let, y=sec−1x⇒secy=x. Differentiating both side w.r.t x secy.tanydydx=1 dydx=1secy√(sec2y−1)=1|x|√(x2−1). Was this answer helpful? upvote 2. |
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 ,. |
Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, ... |
16 апр. 2024 г. · Derivative of 〖sec〗^(−1) x f (x)=〖sec〗^(−1) x Let y= 〖sec〗^(−1) x sec〖y=x〗 x=sec〖y 〗 Differentiating both sides w.r.t. |
2 июл. 2015 г. · Use Chain rule. Explanation: y=sec−1(√1−x) secy=√1−x. Now differentiate both sides. secytanydydx=1√1−x⋅−1 dydx=−1secytany√1−x. |
Hence, derivative of sec - 1 x is 1 x x 2 - 1 , x ≠ ± 1 , 0 . Q. What is the derivative of 2? |
7 авг. 2024 г. · To solve the problem, we need to find the derivative dydx given the equation: sec−1(1+x1−y)=a 1. Rewrite the equation in terms of secant: ... |
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, ∞). If the value ... |
26 июн. 2021 г. · When I try to calculate derivative of y=sec−1x I get this: secy=x⇒y′×secytany=1⇒y′=1secytany=1secy.√sec2y−1. Hence I get (sec−1x)′=1x√x2−1 . Derivative of $\sec^{-1}x$ and integral of $\frac{1}{x\sqrt{x^2-1}} Domain of the derivative of $sec^{-1}x - Math Stack Exchange Derivative of $\sec^{-1}(x)$ - Mathematics Stack Exchange Why the derivative of inverse secant has an absolute value? Другие результаты с сайта math.stackexchange.com |
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