List questions from exponential-function

Published on 28 Aug 2014 - 11:36

743

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Proving that the exponential function is its own derivative, using the limit definition of $e$

Published on 30 Aug 2014 - 15:28

1.4k

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Show an exponential function has a valid density.

Published on 03 Sep 2014 - 21:46

387

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Finding every triplet $(n,a,b)$ such that $n!=2^a-2^b$

Published on 28 Mar 2026 - 3:34

257

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Exponential and Logarithmic Differentiation.

Published on 07 Sep 2014 - 10:14

86

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Solve for two variables, two equations with exponents

Published on 07 Sep 2014 - 16:10

48

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Order of growth in uniform distribution

Published on 30 Mar 2026 - 0:20

120

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Roots of Unity - $x^3 = -i$

Published on 08 Sep 2014 - 0:39

332

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Simplifying expression and finding indefinite integral

Published on 30 Mar 2026 - 22:52

80

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Expected values with exponentials

Published on 29 Mar 2026 - 13:59

379

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Prove that $|e^{i\theta_1}-e^{i\theta_2}| \leq |\theta_1 - \theta_2|$

Published on 08 Sep 2014 - 20:37

218

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$(x+y)^c\le x^c+y^c$ for $0<c\le1$

Published on 08 Sep 2014 - 21:31

235

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Integral $\int y\,e^{x^2}\,dy$

Published on 30 Mar 2026 - 22:52

488

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How to find the inverse of a function involving e with a coefficient?

Published on 30 Mar 2026 - 5:25

992

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Proving that a definition of e is unique

Published on 09 Sep 2014 - 21:24

List Question

How does this exponential equation add up?

Proving that the exponential function is its own derivative, using the limit definition of $e$

Show an exponential function has a valid density.

Finding every triplet $(n,a,b)$ such that $n!=2^a-2^b$

Exponential and Logarithmic Differentiation.

Solve for two variables, two equations with exponents

Order of growth in uniform distribution

Roots of Unity - $x^3 = -i$

Simplifying expression and finding indefinite integral

Expected values with exponentials

Prove that $|e^{i\theta_1}-e^{i\theta_2}| \leq |\theta_1 - \theta_2|$

$(x+y)^c\le x^c+y^c$ for $0<c\le1$

Integral $\int y\,e^{x^2}\,dy$

How to find the inverse of a function involving e with a coefficient?

Proving that a definition of e is unique

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