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Mathematics, 22.02.2020 01:42 kaylam5599

The curve

y =

1
x2 + 1
is called the witch of Agnesi after the Italian mathematician Maria Agnesi (1718−1799) who wrote one of the first books on calculus. This strange name is the result of a mistranslation of the Italian word la versiera, meaning "that which turns." Find equations of the tangent lines to the curve at

x = ±1.

x = −1

y =
x = 1

y =

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Answers: 2

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The curve

y =

1
x2 + 1
is called the witch of Agnesi after the I...
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