List questions from exponential-function

Published on 24 May 2014 - 10:07

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Limit with a big exponentiation tower

Published on 25 May 2014 - 20:39

626

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Show that $f(x)=e^x$

Published on 26 May 2014 - 7:57

97

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How to prove the following? $\frac{d}{dx}a^x=(\ln a)a^x$

Published on 26 May 2014 - 15:56

188

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What $\alpha$ such that if $xy=\alpha$, then $e^{-x}+e^{-y}\geq 2e^{-\sqrt \alpha} $?

Published on 26 May 2014 - 23:58

117

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trouble with infinite values from exp() and log()

Published on 27 Mar 2026 - 13:46

117

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What is the outdoor temperature? Help please!

Published on 27 May 2014 - 10:39

75

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Can somebody explain to me why these terms are equal?

Published on 26 Mar 2026 - 9:49

4.5k

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Is the function $f(x)=1^x=1$ considered an exponential function?

Published on 28 May 2014 - 16:45

149

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Operators $A$ such that $e^A$ is norm preserving

Published on 27 Mar 2026 - 16:52

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What's the density of $Z=\max(X,Y)-\min(X,Y)$ with $X,Y$ exponentials of parameter $\lambda$?

Published on 28 Mar 2026 - 1:07

151

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The only differentiable function $f \colon \mathbb R \to \mathbb R$ such that $f^\prime(x)=f(x)$ is $f(x)=ce^{x}$

Published on 29 May 2014 - 0:57

42

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Why is $\left(1-\frac{1}{k}\right)^t < e^{-t/k}$?

Published on 28 Mar 2026 - 10:35

894

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Sketching the graph of $y =\ln(4-x)$

Published on 03 Apr 2026 - 12:41

1.2k

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Rate of convergence of an exponential function

Published on 31 May 2014 - 17:18

List Question

Non-integral power of a singular matrix

Limit with a big exponentiation tower

Show that $f(x)=e^x$

How to prove the following? $\frac{d}{dx}a^x=(\ln a)a^x$

What $\alpha$ such that if $xy=\alpha$, then $e^{-x}+e^{-y}\geq 2e^{-\sqrt \alpha} $?

trouble with infinite values from exp() and log()

What is the outdoor temperature? Help please!

Can somebody explain to me why these terms are equal?

Is the function $f(x)=1^x=1$ considered an exponential function?

Operators $A$ such that $e^A$ is norm preserving

What's the density of $Z=\max(X,Y)-\min(X,Y)$ with $X,Y$ exponentials of parameter $\lambda$?

The only differentiable function $f \colon \mathbb R \to \mathbb R$ such that $f^\prime(x)=f(x)$ is $f(x)=ce^{x}$

Why is $\left(1-\frac{1}{k}\right)^t < e^{-t/k}$?

Sketching the graph of $y =\ln(4-x)$

Rate of convergence of an exponential function

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