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  1. math.libretexts.org › Derivatives_of_the_Inverse_Trigonometric_FunctionsDerivatives of the Inverse Trigonometric Functions

    17 lis 2020 · To find the derivative of \(y = \text{arcsec}\, x\), we will first rewrite this equation in terms of its inverse form. That is, \[ \sec y = x \label{inverseEqSec}\] As before, let \(y\) be considered an acute angle in a right triangle with a secant ratio of \(\dfrac{x}{1}\).

  2. mathworld.wolfram.com › InverseSecantInverse Secant -- from Wolfram MathWorld

    10 paź 2024 · The inverse secant sec^ (-1)z (Zwillinger 1995, p. 465), also denoted arcsecz (Abramowitz and Stegun 1972, p. 79; Harris and Stocker 1998, p. 315; Jeffrey 2000, p. 124), is the inverse function of the secant.

  3. math.libretexts.org › Bookshelves › Calculus3.7: Derivatives of Inverse Functions - Mathematics LibreTexts

    17 sie 2024 · Learning Objectives. Calculate the derivative of an inverse function. Recognize the derivatives of the standard inverse trigonometric functions. In this section we explore the relationship between the derivative of a function and the derivative of its inverse.

  4. www.emathzone.com › tutorials › calculusDerivative of Secant Inverse - eMathZone

    Learn how to find the derivative of secant inverse function using the definition and trigonometric rules. See the proof and an example with step-by-step solution.

  5. openstax.org › books › calculus-volume-13.7 Derivatives of Inverse Functions - Calculus Volume 1 -...

    Learn how to use the inverse function theorem and the chain rule to find the derivatives of inverse trigonometric functions. See examples, formulas and applications to rational exponents and integration.

  6. math.libretexts.org › Courses › Monroe_Community_College3. 10: Derivatives of Inverse Trig Functions

    21 gru 2020 · Use the inverse function theorem to find the derivative of \ (g (x)=\sqrt [3] {x}\). Solution. The function \ (g (x)=\sqrt [3] {x}\) is the inverse of the function \ (f (x)=x^3\). Since \ (g′ (x)=\dfrac {1} {f′ (g (x))}\), begin by finding \ (f′ (x)\). Thus, \ [f′ (x)=3x^3\] and.

  7. www.opencalculus.net › secinvtrigderivDerivatives of Inverse Trigonometric Functions

    Inverse Secant, Cosecant, and Cotangent. There are three more inverse trig functions but the three shown above the most common ones. Here are the definitions of the remaining inverse trigonometric functions.

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