List questions from inverse-function

Published on 31 Aug 2017 - 21:49

371

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Evaluating $ \lim\limits_{x\to 0} \left(\frac{x^4 + 2 x^3 + x^2}{{\tan}^{-1} x}\right)$

Published on 03 Sep 2017 - 4:34

1.7k

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why $\sin^{-1}(x)+\cos^{-1}(x) = π/2$

Published on 03 Sep 2017 - 17:11

281

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Find $\tan^{-1} (i\sqrt{2})$.

Published on 04 Sep 2017 - 18:55

451

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Iterated Derivatives of function combinations?

Published on 30 Mar 2026 - 14:37

186

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Should the invertible functions be bijective?

Published on 09 Sep 2017 - 4:20

112

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How to find $g^{-1}\circ h^{-1}$?

Published on 09 Sep 2017 - 15:28

6.1k

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Exact value of $\arctan(2)$

Published on 12 Sep 2017 - 23:07

442

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Solve trigonometric equation with $\arcsin$ and $\arccos$

Published on 15 Sep 2017 - 5:05

246

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How to evaluate this $\int_{-1}^1 (\frac{1}{x}+1-\frac{\sqrt{1-x^2}}{x})\arctan\frac{2}{x^2}dx$

Published on 15 Sep 2017 - 5:12

250

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Compute: $\arctan{\frac{1}{7}}+\arctan{\frac{3}{4}}.$

Published on 16 Sep 2017 - 13:30

65

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How do I solve the following problem concerning primitive functions?

Published on 17 Sep 2017 - 12:30

102

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What does it mean when we say that the multiplication of two matrices is invertible?

Published on 17 Sep 2017 - 18:51

33

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Show that $f'^{-1}(x) = \frac{2}{1-x^2}$ for $f: \mathbb{R} \rightarrow \mathbb{R}, x \mapsto \frac{e^x-1}{e^x+1}$

Published on 18 Sep 2017 - 8:02

64

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Question about sets and inverse functions

Published on 19 Sep 2017 - 18:45

List Question

Fill in the remaining entries that if R is ... iff inverse R is ...?

Evaluating $ \lim\limits_{x\to 0} \left(\frac{x^4 + 2 x^3 + x^2}{{\tan}^{-1} x}\right)$

why $\sin^{-1}(x)+\cos^{-1}(x) = π/2$

Find $\tan^{-1} (i\sqrt{2})$.

Iterated Derivatives of function combinations?

Should the invertible functions be bijective?

How to find $g^{-1}\circ h^{-1}$?

Exact value of $\arctan(2)$

Solve trigonometric equation with $\arcsin$ and $\arccos$

How to evaluate this $\int_{-1}^1 (\frac{1}{x}+1-\frac{\sqrt{1-x^2}}{x})\arctan\frac{2}{x^2}dx$

Compute: $\arctan{\frac{1}{7}}+\arctan{\frac{3}{4}}.$

How do I solve the following problem concerning primitive functions?

What does it mean when we say that the multiplication of two matrices is invertible?

Show that $f'^{-1}(x) = \frac{2}{1-x^2}$ for $f: \mathbb{R} \rightarrow \mathbb{R}, x \mapsto \frac{e^x-1}{e^x+1}$

Question about sets and inverse functions

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