List questions from exponential-function

Published on 29 Mar 2026 - 4:48

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Derivation of Exponential Model

Published on 28 Mar 2026 - 8:08

1.3k

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New bound for Am-Gm of 2 variables

Published on 27 Mar 2026 - 4:34

533

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Find $f$ if $f'(t) = 3^t - \frac{3}{t},$ $f(1) = 2,$ and $f(-1) = 1$.

Published on 06 Jun 2019 - 16:26

242

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How to prove $\lim\limits_{n\to\infty}\left(1+\frac{1}{n}\right)^n=\sum_{k=0}^{\infty}{\frac{1}{k!}}=:e$

Published on 07 Jun 2019 - 18:31

66

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The solutions of $\left(\frac{1}{2}\right)^{x}+\left(\frac{1}{6}\right)^{x}+\sqrt{2}\left(\frac{\sqrt{2}}{6}\right)^{x}=1$

Published on 07 Jun 2019 - 20:02

75

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Functions of the form $f(x)=\int_{0}^{\infty}F_t \exp(-tx) dt$

Published on 23 Feb 2026 - 5:44

257

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Solving $ e^z + 2 = 0$

Published on 09 Jun 2019 - 19:57

655

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Critical values of exponential function

Published on 01 Apr 2026 - 16:57

124

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Interpolation between iterations of exponentials (and logarithms)

Published on 25 Mar 2026 - 11:25

1.5k

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Differentiating a specific cost function

Published on 11 Jun 2019 - 12:00

594

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Is $\left(1+\frac1n\right)^{n+1/2}$ decreasing?

Published on 24 Mar 2026 - 14:54

114

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Where does the constant come from in $f(x) = e^{kx}$?

Published on 26 Mar 2026 - 19:06

190

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How to prove the inequality $a_1^{a_1}a_2^{a_2}\cdots a_n^{a_n} > \left(\frac{a_1+\dots+a_n}{n}\right)^{a_1+\dots+a_n}$?

Published on 27 Mar 2026 - 4:58

134

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How do I prove that for continuous $f$, if $\forall x \in \mathbb{Q}, \, f(x) = f(1)^x$ then $\forall x \in \mathbb{R}, \, f(x) = f(1)^x$?

Published on 13 Jun 2019 - 1:59

List Question

what is exponential generating function with n Choose k as coefficient

Derivation of Exponential Model

New bound for Am-Gm of 2 variables

Find $f$ if $f'(t) = 3^t - \frac{3}{t},$ $f(1) = 2,$ and $f(-1) = 1$.

How to prove $\lim\limits_{n\to\infty}\left(1+\frac{1}{n}\right)^n=\sum_{k=0}^{\infty}{\frac{1}{k!}}=:e$

The solutions of $\left(\frac{1}{2}\right)^{x}+\left(\frac{1}{6}\right)^{x}+\sqrt{2}\left(\frac{\sqrt{2}}{6}\right)^{x}=1$

Functions of the form $f(x)=\int_{0}^{\infty}F_t \exp(-tx) dt$

Solving $ e^z + 2 = 0$

Critical values of exponential function

Interpolation between iterations of exponentials (and logarithms)

Differentiating a specific cost function

Is $\left(1+\frac1n\right)^{n+1/2}$ decreasing?

Where does the constant come from in $f(x) = e^{kx}$?

How to prove the inequality $a_1^{a_1}a_2^{a_2}\cdots a_n^{a_n} > \left(\frac{a_1+\dots+a_n}{n}\right)^{a_1+\dots+a_n}$?

How do I prove that for continuous $f$, if $\forall x \in \mathbb{Q}, \, f(x) = f(1)^x$ then $\forall x \in \mathbb{R}, \, f(x) = f(1)^x$?

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