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Revolution of tractrix

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#real-analysis #calculus #differential-geometry #inverse #inverse-function
171
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Find affine function to approximate local inverse

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#inverse-function #inverse-function-theorem
47
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How do I compute the derivative of this inverse function?

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#calculus #derivatives #inverse-function
66
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Symmetric but not so good looking arctan sum

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#inverse-function #symmetric-polynomials
88
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Inverse function on the interval $[1, 9.5]$

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#algebra-precalculus #functions #inverse-function
9.1k
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Why $\arctan x$ not equal to $\arcsin(x)/\arccos(x)$?

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#calculus #trigonometry #inverse-function
83
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If $A$ and $B$ are continuous linear operators from $F$ into $E$, $|A-B|<1 $, and $A$ is invertible, then $B$ is invertible

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#real-analysis #banach-spaces #normed-spaces #inverse-function
96
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Are there invertible functions such that $f=\frac{g}{h}$ and $f^{-1}=\frac{g^{-1}}{h^{-1}}$?

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#algebra-precalculus #functions #examples-counterexamples #inverse-function
88
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inverse of a funtion

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#real-analysis #inverse-function
710
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Find the value of $\sin^{-1}(\cos 2)-\cos^{-1}(\sin 2) +\tan^{-1}(\cot 4) -\cot^{-1}(\tan 4)+\sec^{-1}(\csc 6)-\csc^{-1}(\sec 6)$

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#trigonometry #solution-verification #inverse-function
57
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If $x$ takes a negative value, prove that $\sin^{-1}x=-\cos^{-1}\sqrt{1-x^2}$

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#trigonometry #solution-verification #inverse-function
145
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Test for an Inverse Function

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#algebra-precalculus #inverse-function
197
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Solve for $x$ in $\sin^{-1}(1-x)-2\sin^{-1}x =\frac{\pi}{2}$

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#trigonometry #inverse-function
83
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Find the value of $\sum_{r=0}^{\infty} \tan^{-1}(\frac{1}{1+r+r^2})$

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#trigonometry #inverse-function
95
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Law of $Y=X(2-X)$

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#probability #random-variables #inverse-function

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