Answer:-
The derivative of sec(x) is sec(x)tan(x). To understand why, think of sec(x) as 1/cos(x). When you take the derivative of 1/cos(x), you use the quotient or chain rule. The derivative of cos(x) is -sin(x), so applying the rules gives you sec(x)tan(x). This result is important in calculus, especially in trigonometric integrals and derivatives. It shows up often in physics and engineering problems involving waves or oscillations. Just remember: when you see sec(x), its derivative is not just a simple trig function—it becomes a product of sec(x) and tan(x).
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