Question

How do I draw the graphs of $\sin^{-1}(\frac{2x}{1+x^2})$ and $\tan^{-1}(\frac{2x}{1-x^2})$?

score 37 · Answer 1 · 2019-05-06 08:28:25

37

Views

How do I draw the graphs of $\sin^{-1}(\frac{2x}{1+x^2})$ and $\tan^{-1}(\frac{2x}{1-x^2})$?

Published on 06 May 2019 - 8:28

score 30 · Answer 2 · 2019-05-07 12:34:48

30

Views

unexpected case of gradient of inverse function

Published on 07 May 2019 - 12:34

score 121 · Answer 3 · 2019-05-10 11:48:19

121

Views

Image of an interior point

Published on 10 May 2019 - 11:48

score 48 · Answer 4 · 2019-05-11 12:12:59

48

Views

Why isn’t the integral of $x^2$ from $0$ to $5$ equal to the integral of $\sqrt x$ from $0$ to $25$?

Published on 11 May 2019 - 12:12

score 199 · Answer 5 · 2019-05-15 00:42:03

199

Views

Is there any formula for $\arctan x + \arctan y + \arctan z$?

Published on 15 May 2019 - 0:42

score 1.5k · Answer 6 · 2019-05-16 06:35:57

1.5k

Views

Number of solution of the equation $\cot^{-1}{\sqrt{4-x^2}+ \cos^{-1}{(x^2-5)}}=3π/2$

Published on 16 May 2019 - 6:35

score 52 · Answer 7 · 2019-05-17 15:58:12

52

Views

Show bijectivity of $f:(-1,1)\rightarrow \mathbb{R}, f(x)=\frac{x}{1-|x|}$

Published on 17 May 2019 - 15:58

score 353 · Answer 8 · 2026-03-27 00:00:20

353

Views

Finding an inverse function (sum of non-integer powers)

Published on 27 Mar 2026 - 0:00

score 1.1k · Answer 9 · 2019-05-24 05:00:59

1.1k

Views

If a function is one-to-one but not onto does it have an infinite number of left inverses?

Published on 24 May 2019 - 5:00

score 96 · Answer 10 · 2026-03-26 09:49:17

96

Views

Inverse of a bijective function involving cases

Published on 26 Mar 2026 - 9:49

score 250 · Answer 11 · 2019-05-26 00:13:48

250

Views

Finding the slope of a inverse function without knowing the inverse function itself

Published on 26 May 2019 - 0:13

score 197 · Answer 12 · 2019-05-28 11:48:01

197

Views

If the function $f(x)=x^3 + e^{{x}/{2}}$ and $g(x)=f^{-1} (x)$ then find the value of $g'(1)$.

Published on 28 May 2019 - 11:48

score 142 · Answer 13 · 2026-03-25 14:26:53

142

Views

inverse of function that has $\epsilon x$ and $\operatorname{sign}(x)$

Published on 25 Mar 2026 - 14:26

score 1.8k · Answer 14 · 2019-06-01 15:07:48

1.8k

Views

Why isn't $\arctan(\tan x)=x$?

Published on 01 Jun 2019 - 15:07

score 58 · Answer 15 · 2026-03-25 09:24:47

58

Views

simple description of General inverse function?

Published on 25 Mar 2026 - 9:24

List Question

How do I draw the graphs of $\sin^{-1}(\frac{2x}{1+x^2})$ and $\tan^{-1}(\frac{2x}{1-x^2})$?

unexpected case of gradient of inverse function

Image of an interior point

Why isn’t the integral of $x^2$ from $0$ to $5$ equal to the integral of $\sqrt x$ from $0$ to $25$?

Is there any formula for $\arctan x + \arctan y + \arctan z$?

Number of solution of the equation $\cot^{-1}{\sqrt{4-x^2}+ \cos^{-1}{(x^2-5)}}=3π/2$

Show bijectivity of $f:(-1,1)\rightarrow \mathbb{R}, f(x)=\frac{x}{1-|x|}$

Finding an inverse function (sum of non-integer powers)

If a function is one-to-one but not onto does it have an infinite number of left inverses?

Inverse of a bijective function involving cases

Finding the slope of a inverse function without knowing the inverse function itself

If the function $f(x)=x^3 + e^{{x}/{2}}$ and $g(x)=f^{-1} (x)$ then find the value of $g'(1)$.

inverse of function that has $\epsilon x$ and $\operatorname{sign}(x)$

Why isn't $\arctan(\tan x)=x$?

simple description of General inverse function?

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