What is the derivative of sec x? Solution: The derivative of any function y = f (x) of a variable x is the rate of change of y with respect to change in x. From trigonometric ratios, y = sec x = 1 / cos x As the RHS of this equation is in fraction form, we can use the quotient rule of differentiation Hence by derivative of sec x = 1 / cos x is d/dx (uv) = (v du/dx − u dv/dx) / v 2 ------- (1) u = 1 and v = cos x Substituting the values of u and v in eqn (1) d/dx (sec x) = (cos x d/dx (1 ... Introduction to derivative of inverse secant function formula with proof to learn how to derive differentiation of sec function from first principle in calculus. The derivative Derivative of sec2x is 2sec2xtanx. Sec2x is the square of the trigonometric function secant x, generally written as sec x. In this article, we will discuss the derivative of sec^2x, various methods to find it including the chain rule and the quotient rule, solved examples, and some practice problems on it. What is Derivative of Sec2x? The derivative of sec2x is 2sec2xtanx. Sec2x is a composite function involving an algebraic operation on a trigonometric function. Derivative of ... The derivative of sec x with respect to x is equal to secx tanx. We will prove this by first principle, chain rule and quotient rule of derivatives.
