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Error in the derivative proof

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#limits #derivatives #proof-verification #fake-proofs
149
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What is the derivative of $f(x)= 3^{-x}$?

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#derivatives
131
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Filling a gap in triangle inequality proof for $d(x,y)= \left\lvert \frac{|x-y|}{1+|x-y|} \right\lvert $.

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#real-analysis #calculus #derivatives #metric-spaces
2.1k
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Show that $f'(x)$ is not integrable on $[0,1]$ if $f(x) = x^2\sin(\frac{1}{x^2}))$

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#real-analysis #measure-theory #derivatives #lebesgue-integral
72
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is this function regular?

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#real-analysis #derivatives #control-theory
586
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Are derivative functions always bounded on closed intervals?

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#calculus #analysis #derivatives
40
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Why are these two quantities proportional?

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#derivatives #partial-derivative
46
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Implicit differentiation questions

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#derivatives
74
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Is my solution correct? Something feels wrong with it.

Published on
#calculus #limits #derivatives
990
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Taking derivatives of a power series

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#calculus #derivatives #summation #power-series
26
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Multivariate Chain Rule with a Function of one of the Variables

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#calculus #derivatives #chain-rule
42
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Evaluating the $k$th derivative of composite $g\circ f$ if $f^{\prime}(0) = 0$ without using Bruno's theorem

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#derivatives #function-and-relation-composition
44
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How to apply linear independence on the infinitesimals?

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#linear-algebra #derivatives
105
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Function has nth derivatives bounded by exponential

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#real-analysis #derivatives #exponential-function
181
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Minimum value of $\frac{4}{4-x^2}+\frac{9}{9-y^2}$

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#algebra-precalculus #derivatives #maxima-minima

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