Differentiation of sec x: Learn how to differentiate Sec x using

Learn how to differentiate Sec x using the first principle, chain rule and quotient rule. Find the formula for Sec x and its applications in trigonometry and calculus. Here you will learn what is the differentiation of secx and its proof by using first principle. Let’s begin – Differentiation of secx The differentiation of secx ... Ex 12.2, 11 (ii) - Chapter 12 Class 11 Limits and Derivatives 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 ...