List questions from inverse-function

Published on 19 Jun 2020 - 9:45

70

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Diffeomorpishm preserves dimension

Published on 25 Mar 2026 - 17:23

62

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Fourier transform of exp(-g(w)exp(-w))

Published on 19 Jun 2020 - 21:08

118

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How to show $\sum_{k=0}^{\infty} \frac{1}{k!} \left( \int_{1}^{x} \frac{1}{t} \ dt \right)^k =x$?

Published on 19 Jun 2020 - 23:12

100

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Finding the value of $\sin^{-1}\frac{12}{13}+\cos^{-1}\frac{4}{5}+\tan^{-1}\frac{63}{16}$

Published on 22 Jun 2020 - 7:37

202

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Solve: $f''(x) = f^{-1}(x)$

Published on 25 Mar 2026 - 20:25

378

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Interpretation of inverse of a composite function

Published on 23 Jun 2020 - 19:29

716

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Show the $\arcsin$ identity: $ \arcsin(1 - 2x) + 2\arcsin(\sqrt{x}) = \pi / 2$

Published on 23 Jun 2020 - 20:21

184

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How to find the inverse of the complex function $ f(z)=\dfrac{z}{\sqrt{1+|z|^{2}}}$

Published on 24 Jun 2020 - 20:49

175

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why is it called $f^{-1}(x)$?

Published on 25 Jun 2020 - 18:20

840

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Assumptions of the inverse mapping theorem

Published on 26 Mar 2026 - 1:03

39

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$f^{-1}f(L)=L+\text{Ker}f$

Published on 28 Mar 2026 - 9:07

158

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If $f\colon V \to W$ is a continuous bijection between open sets in $\mathbb{R}^n$ then its inverse is continuous?

Published on 26 Jun 2020 - 22:36

84

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Proving that $\sqrt[n]{a^m}=(\sqrt[n]{a})^m$

Published on 26 Jun 2020 - 23:20

101

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How to find derivative of inverse function at a point where there is no clear path to get inverse function (calc1 lvl)

Published on 27 Jun 2020 - 11:50

List Question

How to solve $f(x)=f^{-1}(x)$?

Diffeomorpishm preserves dimension

Fourier transform of exp(-g(w)exp(-w))

How to show $\sum_{k=0}^{\infty} \frac{1}{k!} \left( \int_{1}^{x} \frac{1}{t} \ dt \right)^k =x$?

Finding the value of $\sin^{-1}\frac{12}{13}+\cos^{-1}\frac{4}{5}+\tan^{-1}\frac{63}{16}$

Solve: $f''(x) = f^{-1}(x)$

Interpretation of inverse of a composite function

Show the $\arcsin$ identity: $ \arcsin(1 - 2x) + 2\arcsin(\sqrt{x}) = \pi / 2$

How to find the inverse of the complex function $ f(z)=\dfrac{z}{\sqrt{1+|z|^{2}}}$

why is it called $f^{-1}(x)$?

Assumptions of the inverse mapping theorem

$f^{-1}f(L)=L+\text{Ker}f$

If $f\colon V \to W$ is a continuous bijection between open sets in $\mathbb{R}^n$ then its inverse is continuous?

Proving that $\sqrt[n]{a^m}=(\sqrt[n]{a})^m$

How to find derivative of inverse function at a point where there is no clear path to get inverse function (calc1 lvl)

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