Question

A problem about differential of a smooth map

score 79 · Answer 1 · 2026-04-08 00:43:40

79

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A problem about differential of a smooth map

Published on 08 Apr 2026 - 0:43

score 114 · Answer 2 · 2020-07-15 15:30:40

114

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Evaluating the integral $\int_{f}^{g} \exp \left[-\frac{1}{d}\left(c+b x+a x^{2}\right)\right] d x$

Published on 15 Jul 2020 - 15:30

score 61 · Answer 3 · 2020-07-15 17:36:20

61

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How to study a function (e.g $\frac{e^x-e^{-x}}{2}$) whose $\{1,2\}$-th derivatives have complex solutions?

Published on 15 Jul 2020 - 17:36

score 754 · Answer 4 · 2020-07-16 02:12:30

754

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How are these exponential functions converted to sine/cosine

Published on 16 Jul 2020 - 2:12

score 75 · Answer 5 · 2026-03-26 04:36:29

75

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How to find $x$ for $-\frac{1}{\sqrt{2}x^{\frac{3}{2}}}=-\frac{1}{4}e^{-\frac{x}{4}}\left(A-B\right)$

Published on 26 Mar 2026 - 4:36

score 65 · Answer 6 · 2020-07-17 05:36:08

65

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Why does the formula to get $(e^{x})'s$ slope differ from itself?

Published on 17 Jul 2020 - 5:36

score 1.1k · Answer 7 · 2026-04-02 22:37:25

1.1k

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Exponential growth and decay,and the constant k

Published on 02 Apr 2026 - 22:37

score 669 · Answer 8 · 2020-07-17 14:47:55

669

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How to find $k$ from $f(x)\;=\;\frac c{1+a\cdot b^x}$?

Published on 17 Jul 2020 - 14:47

score 351 · Answer 9 · 2020-07-18 04:17:48

351

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How to convert $P \cdot (1+\frac{r}{m})^{m \cdot t}$ to $P_0 \cdot e^{k \cdot t}$?

Published on 18 Jul 2020 - 4:17

score 325 · Answer 10 · 2020-07-18 04:47:51

325

Views

How does $e^x\cdot e^X$ equal $e^{x+X}$?

Published on 18 Jul 2020 - 4:47

score 51 · Answer 11 · 2026-03-26 04:36:49

51

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How can I solve for $a$ in $0=\frac{\sqrt{\frac{a}{2}}-\sqrt{2a}}{a^{2}}+\frac{E_{\alpha}-E_{\beta}}{4}\exp\left(-\frac{a}{4}\right)$

Published on 26 Mar 2026 - 4:36

score 55 · Answer 12 · 2020-07-18 10:53:36

55

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How does $A = P\cdot (1+r)^{n}$ becomes a graph function of $A = P\cdot (1+rt)$

Published on 18 Jul 2020 - 10:53

score 53 · Answer 13 · 2026-03-25 07:42:06

53

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Evaluating $\int_0^{\infty} x^r \exp(e^{-s x}) e^{-ax^b}dx$

Published on 25 Mar 2026 - 7:42

score 93 · Answer 14 · 2020-07-19 20:44:08

93

Views

Prove an inequality by induction

Published on 19 Jul 2020 - 20:44

score 91 · Answer 15 · 2026-04-05 20:43:05

91

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Is function $g(x) = e^{f(x)}$ is always differentiable $\forall~ x \in $ domain of $f(x)$ if $f(x)$ is differentiable in it's domain?

Published on 05 Apr 2026 - 20:43

List Question

A problem about differential of a smooth map

Evaluating the integral $\int_{f}^{g} \exp \left[-\frac{1}{d}\left(c+b x+a x^{2}\right)\right] d x$

How to study a function (e.g $\frac{e^x-e^{-x}}{2}$) whose $\{1,2\}$-th derivatives have complex solutions?

How are these exponential functions converted to sine/cosine

How to find $x$ for $-\frac{1}{\sqrt{2}x^{\frac{3}{2}}}=-\frac{1}{4}e^{-\frac{x}{4}}\left(A-B\right)$

Why does the formula to get $(e^{x})'s$ slope differ from itself?

Exponential growth and decay,and the constant k

How to find $k$ from $f(x)\;=\;\frac c{1+a\cdot b^x}$?

How to convert $P \cdot (1+\frac{r}{m})^{m \cdot t}$ to $P_0 \cdot e^{k \cdot t}$?

How does $e^x\cdot e^X$ equal $e^{x+X}$?

How can I solve for $a$ in $0=\frac{\sqrt{\frac{a}{2}}-\sqrt{2a}}{a^{2}}+\frac{E_{\alpha}-E_{\beta}}{4}\exp\left(-\frac{a}{4}\right)$

How does $A = P\cdot (1+r)^{n}$ becomes a graph function of $A = P\cdot (1+rt)$

Evaluating $\int_0^{\infty} x^r \exp(e^{-s x}) e^{-ax^b}dx$

Prove an inequality by induction

Is function $g(x) = e^{f(x)}$ is always differentiable $\forall~ x \in $ domain of $f(x)$ if $f(x)$ is differentiable in it's domain?

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