Answer:-
The derivative of the secant function, written as sec ? ( ???? ) sec(x), is sec ? ( ???? ) tan ? ( ???? ) sec(x)tan(x). To find this, you can use the rule for differentiating trigonometric functions. Since sec ? ( ???? ) = 1 cos ? ( ???? ) sec(x)= cos(x) 1 ? , you can apply the quotient rule or rewrite it and use the chain rule. Differentiating sec ? ( ???? ) sec(x) directly gives you sec ? ( ???? ) tan ? ( ???? ) sec(x)tan(x), which means the rate of change of secant depends on both secant and tangent of the angle. This result is useful in calculus, especially in problems involving integrals, motion, or wave behavior in physics and engineering.
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