WebDec 9, 2024 · Hence $\sec x =\dfrac{1}{\cos x} > \dfrac{1}{1-\frac{x^2}{2}+\frac{x^4}{24}}=1+\dfrac{x^2}{2}+\dfrac{x^4}{8}+O(x^6) > 1+\dfrac{x^2}{2}$ on $(-\frac\pi2,\frac\pi2)$. I'm quite sure the proof above is correct, but it's way too long for a simple question like this one, so I was wondering if there was a much cleaner, shorter … Webderivative of sec^2(x) Pre Algebra; Algebra; Pre Calculus; Calculus; Functions; Linear Algebra; Trigonometry; Statistics; ... {\pi}\sin(x)dx \sum_{n=0}^{\infty}\frac{3}{2^n} ...

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WebTo calculate derivatives start by identifying the different components (i.e. multipliers and divisors), derive each component separately, carefully set the rule formula, and simplify. … WebSecant (sec) - Trigonometry function. (See also Secant of a circle ). In a right triangle, the secant of an angle is the length of the hypotenuse divided by the length of the adjacent side. In a formula, it is abbreviated to just … great wall dalhart

Prove that $\\sec x \\geq 1+\\frac{x^2}{2}$ on $(-\\frac\\pi2,\\frac ...

WebSymbolab is the best step by step calculator for a wide range of math problems, from basic arithmetic to advanced calculus and linear algebra. It shows you the solution, graph, detailed steps and explanations for each problem. WebAfter you've mastered the derivatives of the basic trigonometric functions, you can differentiate trigonometric functions whose arguments are polynomials, like \sec\left (\dfrac {3\pi} {2}-x\right) sec( 23π −x). Practice set 3: general trigonometric functions Problem … WebThe first principle is used to find the derivative of a function f (x) using the formula f' (x) = limₕ→₀ [f (x + h) - f (x)] / h. By substituting f (x) = sec x and f (x + h) = sec (x + h) in this formula and simplifying it, we can find the derivative of sec x to be sec x tan x. For more detailed proof, click here. great wall council bluffs menu