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TIFR2011MathsA21
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Any continuous function from the open unit interval $(0, 1)$ to itself has a fixed point.
tifrmaths2011
continuity
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Dec 9, 2015
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Calculus
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makhdoom ghaya
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No. Take the function that takes $x \mapsto x^2$ . It doesn't have any fixed piont on (0,1)
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Nov 25, 2019
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seetal samal
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TIFR2011MathsA25
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TIFR2011MathsA19
The derivative of the function $\int_{0}^{\sqrt{x}} e^{t^{2}}dt$ at $x = 1$ is $e^{1}$ .
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