Question

Why can't the derivative of $e^{\ln x}$ be left as $\frac{e^{\ln x}}{x}$?

score 151 · Answer 1 · 2019-08-13 07:17:08

151

Views

Why can't the derivative of $e^{\ln x}$ be left as $\frac{e^{\ln x}}{x}$?

Published on 13 Aug 2019 - 7:17

score 66 · Answer 2 · 2019-08-14 05:03:52

66

Views

Does $e^{xy}=(e^x)^y$ hold when $x$ and $y$ are real?

Published on 14 Aug 2019 - 5:03

score 654 · Answer 3 · 2026-03-25 05:07:07

654

Views

Can $e^x$ be expressed as a linear combination of $(1 + \frac x n)^n$?

Published on 25 Mar 2026 - 5:07

score 96 · Answer 4 · 2026-03-25 06:04:52

96

Views

Prove that the derivative of exponential is itself without using derivative

Published on 25 Mar 2026 - 6:04

score 89 · Answer 5 · 2026-03-25 06:09:51

89

Views

Get around Exponential Integral in indefinite integral calculation?

Published on 25 Mar 2026 - 6:09

score 154 · Answer 6 · 2019-08-15 08:55:46

154

Views

Certain step in proof that sequence converging to $e$ monotonically increases.

Published on 15 Aug 2019 - 8:55

score 468 · Answer 7 · 2019-08-15 17:23:58

468

Views

Proof that the exponential function is injective using its definition as a power series

Published on 15 Aug 2019 - 17:23

score 73 · Answer 8 · 2026-03-27 16:22:05

73

Views

Help with expressing Partition Numbers as powers of two

Published on 27 Mar 2026 - 16:22

score 624 · Answer 9 · 2019-08-16 10:53:09

624

Views

Sum of exponential function inequality

Published on 16 Aug 2019 - 10:53

score 129 · Answer 10 · 2026-03-28 03:53:08

129

Views

Limit of exponential function using natural log and change of variable without L'Hopital

Published on 28 Mar 2026 - 3:53

score 152 · Answer 11 · 2026-03-31 07:29:48

152

Views

The function sequence $(\exp(f_n))$ converges uniformly if the function sequence $(f_n)$ converges uniformly.

Published on 31 Mar 2026 - 7:29

score 213 · Answer 12 · 2026-03-27 01:53:37

213

Views

I don't understand the logical leap made in the analogy of $e$

Published on 27 Mar 2026 - 1:53

score 436 · Answer 13 · 2026-03-29 15:38:54

436

Views

Combinatorial proof that the exponential and logarithmic functions are inverse, the other way around

Published on 29 Mar 2026 - 15:38

score 78 · Answer 14 · 2019-08-18 13:16:57

78

Views

How is compound growth affected by variations in interest?

Published on 18 Aug 2019 - 13:16

score 81 · Answer 15 · 2019-08-18 14:52:07

81

Views

Solving this limit without employing l'Hôpital's rule to define the exponential derivative.

Published on 18 Aug 2019 - 14:52

List Question

Why can't the derivative of $e^{\ln x}$ be left as $\frac{e^{\ln x}}{x}$?

Does $e^{xy}=(e^x)^y$ hold when $x$ and $y$ are real?

Can $e^x$ be expressed as a linear combination of $(1 + \frac x n)^n$?

Prove that the derivative of exponential is itself without using derivative

Get around Exponential Integral in indefinite integral calculation?

Certain step in proof that sequence converging to $e$ monotonically increases.

Proof that the exponential function is injective using its definition as a power series

Help with expressing Partition Numbers as powers of two

Sum of exponential function inequality

Limit of exponential function using natural log and change of variable without L'Hopital

The function sequence $(\exp(f_n))$ converges uniformly if the function sequence $(f_n)$ converges uniformly.

I don't understand the logical leap made in the analogy of $e$

Combinatorial proof that the exponential and logarithmic functions are inverse, the other way around

How is compound growth affected by variations in interest?

Solving this limit without employing l'Hôpital's rule to define the exponential derivative.

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