List questions from inverse-function

Published on 12 Jan 2022 - 14:16

142

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Why is $2i\ln(-i)=\pi$

Published on 12 Jan 2022 - 23:44

76

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A counterexample for a theorem of integral of inverse function

Published on 15 Jan 2022 - 8:13

137

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If $f(s) =\frac{s}{\sqrt{1-s^2}}$, how to evaluate $\lim_{s\to \pm\infty}f^{-1}(s)$?

Published on 15 Jan 2022 - 20:57

215

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Right inverse of trace operator

Published on 25 Mar 2026 - 17:38

109

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Is $0$ the Exponential Inverse?

Published on 25 Mar 2026 - 21:45

63

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If $y = 3^{x}\arcsin(x)$ prove that $(1 - x^2)y'' - xy' = 0$

Published on 21 Jan 2022 - 2:27

341

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The solution set of equation $\sin^{-1}{\sqrt{1-x^2}}\;+\cos^{-1}x=\cot^{-1}{\dfrac{\sqrt{1-x^2}}{x}}-\sin^{-1}x$

Published on 21 Jan 2022 - 13:16

20

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Find $T^{-1}$ of $T: \mathcal{P}_2 \rightarrow \mathcal{P}_2 $ with $T(p(x)) = p(x+2)$ and basis of codomain $\{1, x+2, (x+2)^2\}$

Published on 22 Jan 2022 - 10:05

31

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Finding the inverse of a group isomorphism linked to a short exact sequence

Published on 30 Mar 2026 - 20:29

306

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Deriving the formula for $\cos^{-1}x+\cos^{-1}y$

Published on 25 Jan 2022 - 13:12

380

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Find derivative of inverse of function $y=2x^3-6x$ and calculate it's value at $x=-2$.

Published on 28 Jan 2022 - 11:22

32

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Find the inverse of $|y|^p-|y|=x$

Published on 01 Feb 2022 - 16:45

106

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Inverse of $\tanh^{\prime\prime}(x)$

Published on 30 Mar 2026 - 20:44

49

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Question on solving equations by applying inverse functions

Published on 02 Feb 2022 - 18:48

List Question

$f(x)=3x-\sin(\frac{\pi x}{2})$, $\quad$ $g(x)=x^3+2x-\sin(\frac{\pi x}{2})$

Why is $2i\ln(-i)=\pi$

A counterexample for a theorem of integral of inverse function

If $f(s) =\frac{s}{\sqrt{1-s^2}}$, how to evaluate $\lim_{s\to \pm\infty}f^{-1}(s)$?

Right inverse of trace operator

Is $0$ the Exponential Inverse?

If $y = 3^{x}\arcsin(x)$ prove that $(1 - x^2)y'' - xy' = 0$

The solution set of equation $\sin^{-1}{\sqrt{1-x^2}}\;+\cos^{-1}x=\cot^{-1}{\dfrac{\sqrt{1-x^2}}{x}}-\sin^{-1}x$

Find $T^{-1}$ of $T: \mathcal{P}_2 \rightarrow \mathcal{P}_2 $ with $T(p(x)) = p(x+2)$ and basis of codomain $\{1, x+2, (x+2)^2\}$

Finding the inverse of a group isomorphism linked to a short exact sequence

Deriving the formula for $\cos^{-1}x+\cos^{-1}y$

Find derivative of inverse of function $y=2x^3-6x$ and calculate it's value at $x=-2$.

Find the inverse of $|y|^p-|y|=x$

Inverse of $\tanh^{\prime\prime}(x)$

Question on solving equations by applying inverse functions

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