فرمول های مشتق (Derivative) شامل توابع معکوس مثلثاتی (Inverse Trigonometric Function)، در ریاضیات (Mathematics)
\[ {d \over {dx}}\left( {{{\sin }^{ - 1}}x} \right) = {1 \over {\sqrt {1 - {x^2}} }} \] \[ {d \over {dx}}\left( {{{\cos }^{ - 1}}x} \right) = - {1 \over {\sqrt {1 - {x^2}} }} \] \[ {d \over {dx}}\left( {{{\tan }^{ - 1}}x} \right) = {1 \over {1 + {x^2}}} \] \[ {d \over {dx}}\left( {{{\sec }^{ - 1}}x} \right) = {1 \over {\left| x \right|\sqrt {{x^2} - 1} }} \] \[ {d \over {dx}}\left( {{{\cot }^{ - 1}}x} \right) = - {1 \over {1 + {x^2}}} \] \[ {d \over {dx}}\left( {{{\csc }^{ - 1}}x} \right) = - {1 \over {\left| x \right|\sqrt {{x^2} - 1} }} \]
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Thomas' Calculus Early Transcendentals - George B. Thomas Jr., Maurice D. Weir, Joel R. Hass - 13th Edition
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