Question

What is the derivative of x^T e^-A x w.r.t. A?

score 29 · Answer 1 · 2022-02-15 14:02:23

29

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What is the derivative of x^T e^-A x w.r.t. A?

Published on 15 Feb 2022 - 14:02

score 88 · Answer 2 · 2026-03-28 04:36:17

88

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Finding the inverse of the differential $d\pi_{i_p} : T_p( M_1 \times \dots \times M_k) \to T_{p_i}M_i$

Published on 28 Mar 2026 - 4:36

score 42 · Answer 3 · 2022-02-18 21:55:38

42

Views

Show that $\forall u\in L(h)$, $\|Df(u)-3Id\|\leq 6\|u-Id\|+3\|u-Id\|^2.$

Published on 18 Feb 2022 - 21:55

score 46 · Answer 4 · 2022-02-20 14:40:56

46

Views

Total derivative and partial derivative of an equation

Published on 20 Feb 2022 - 14:40

score 119 · Answer 5 · 2022-02-24 13:45:24

119

Views

Derivative of $f:\mathbb{R}^n\to\mathbb{R},\ f(\vec{x})=A\vec{x}\cdot\vec{x}=\vec{x}^T A\vec{x},\ A\in\mathbb{M}_{n\times n}$

Published on 24 Feb 2022 - 13:45

score 73 · Answer 6 · 2022-02-24 21:52:19

73

Views

I have a question about 'Differential of function dy'.

Published on 24 Feb 2022 - 21:52

score 87 · Answer 7 · 2026-03-26 12:15:43

87

Views

Differential of quadratic form

Published on 26 Mar 2026 - 12:15

score 15 · Answer 8 · 2022-02-26 11:51:22

15

Views

Substitution of main function (y) into differential equation

Published on 26 Feb 2022 - 11:51

score 77 · Answer 9 · 2022-02-27 23:41:44

77

Views

Differentiability of the functions $\mathbf{f}:\mathbb{M}_{n\times n}\to \mathbb{M}_{n\times n},\ \mathbf{f}(A)=A^2,\ \mathbf{f}(A)=A^T A$

Published on 27 Feb 2022 - 23:41

score 600 · Answer 10 · 2022-03-01 06:43:04

600

Views

If the integral of a differential form is path-independent, then is the differential form an exact differential?

Published on 01 Mar 2022 - 6:43

score 76 · Answer 11 · 2022-03-04 02:28:42

76

Views

Using differentials (not limits!) to find the derivative of sqrt(x)

Published on 04 Mar 2022 - 2:28

score 15 · Answer 12 · 2026-03-27 13:41:07

15

Views

A question while proofing the equation of linearization error proof $g(a)=\frac{1}{2}{f}''(c)(x-a)^2$

Published on 27 Mar 2026 - 13:41

score 48 · Answer 13 · 2026-02-24 00:04:06

48

Views

Show/"sketch" which area f is strictly positive.

Published on 24 Feb 2026 - 0:04

score 94 · Answer 14 · 2022-03-13 01:03:55

Construct a curve that is non-planar, such that it's a Frenet curve at all except at 1 point, yet the torsion is zero at every point except that one.

score 33 · Answer 15 · 2022-03-13 07:11:06

33

Views

Using calculus to determine drainage time for iV bags

Published on 13 Mar 2022 - 7:11

List Question

What is the derivative of x^T e^-A x w.r.t. A?

Finding the inverse of the differential $d\pi_{i_p} : T_p( M_1 \times \dots \times M_k) \to T_{p_i}M_i$

Show that $\forall u\in L(h)$, $\|Df(u)-3Id\|\leq 6\|u-Id\|+3\|u-Id\|^2.$

Total derivative and partial derivative of an equation

Derivative of $f:\mathbb{R}^n\to\mathbb{R},\ f(\vec{x})=A\vec{x}\cdot\vec{x}=\vec{x}^T A\vec{x},\ A\in\mathbb{M}_{n\times n}$

I have a question about 'Differential of function dy'.

Differential of quadratic form

Substitution of main function (y) into differential equation

Differentiability of the functions $\mathbf{f}:\mathbb{M}_{n\times n}\to \mathbb{M}_{n\times n},\ \mathbf{f}(A)=A^2,\ \mathbf{f}(A)=A^T A$

If the integral of a differential form is path-independent, then is the differential form an exact differential?

Using differentials (not limits!) to find the derivative of sqrt(x)

A question while proofing the equation of linearization error proof $g(a)=\frac{1}{2}{f}''(c)(x-a)^2$

Show/"sketch" which area f is strictly positive.

Construct a curve that is non-planar, such that it's a Frenet curve at all except at 1 point, yet the torsion is zero at every point except that one.

Using calculus to determine drainage time for iV bags

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