The derivative of sec x with respect to x is written as d/dx (sec x) and it is equal to sec x tan x Be careful with algebraic manipulations and limit evaluations. Let us learn more about the differentiation of sec x along with its formula, proof by different methods, and a few solved examples.
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In this article, we will learn about the derivative of sec x and its formula including the proof of the formula using the first principle of derivatives, quotient rule, and chain rule as well.
Calculate the 1st derivative of sec (x) × tan (x) with respect to x (d/dx) with a step by step solution.
5.3 determining intervals on which a function is increasing or decreasing. Formulas of the derivatives of trigonometric functions sin (x), cos (x), tan (x), cot (x), sec (x) and csc (x), in calculus, are presented along with several examples involving products, sums and quotients of trigonometric functions. To find the derivative of the function y= secx⋅tanx with respect to x, we will use the product rule of differentiation The product rule states that if you have two functions u and v, then the derivative of their product is given by:
The result matches the derivative obtained using the product rule, confirming the correctness of the calculation
