Question

How to show the derivative of $f(M)=\text{Tr}(M\log (M) -M)$ is $\log (M)$?

score 221 · Answer 1 · 2026-04-16 21:33:34

221

Views

How to show the derivative of $f(M)=\text{Tr}(M\log (M) -M)$ is $\log (M)$?

Published on 16 Apr 2026 - 21:33

score 4.9k · Answer 2 · 2026-04-14 06:44:42

4.9k

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Finding the tenth derivative of $f(x) = e^x\sin x$ at $x=0$

Published on 14 Apr 2026 - 6:44

score 108 · Answer 3 · 2026-04-15 21:30:17

108

Views

Derivative of this application?

Published on 15 Apr 2026 - 21:30

score 60 · Answer 4 · 2026-04-14 08:55:46

60

Views

integration proofs, substitution using the inverse derivative

Published on 14 Apr 2026 - 8:55

score 68 · Answer 5 · 2026-04-14 05:53:34

68

Views

Derivative by definition of $ f(x)= 2x\sin(2x)$

Published on 14 Apr 2026 - 5:53

score 31 · Answer 6 · 2026-04-13 16:54:34

31

Views

Prove monotonic function on $\mathbb{R}$ under given condition

Published on 13 Apr 2026 - 16:54

score 116 · Answer 7 · 2026-04-11 04:39:12

116

Views

Function that gets n times zero value, is it derivative gets n-1 times 0 value?

Published on 11 Apr 2026 - 4:39

score 150 · Answer 8 · 2026-04-12 20:27:17

150

Views

lipschitz function in a compact, is it differentiable?

Published on 12 Apr 2026 - 20:27

score 55 · Answer 9 · 2026-04-16 04:26:15

55

Views

If $f: \mathbb{R}^{n} \to \mathbb{R}$ is such that $|f(x)|\leq x^{3}$, is $f$ second-differentiable in $0$?

Published on 16 Apr 2026 - 4:26

score 71 · Answer 10 · 2026-04-16 08:25:06

71

Views

If $f: U \to \mathbb{R}^{n}$ is a $C^{1}$ function, $U \subset \mathbb{R}^{n}$ open, show that $f$ is an open map.

Published on 16 Apr 2026 - 8:25

score 73 · Answer 11 · 2026-05-11 00:23:10

73

Views

Adding changes or derivatives between two points

Published on 11 May 2026 - 0:23

score 127 · Answer 12 · 2026-04-16 03:19:23

127

Views

On the total derivative of a differential form.

Published on 16 Apr 2026 - 3:19

score 187 · Answer 13 · 2026-04-09 00:05:30

187

Views

Nth derivative formula for high degree power rule

Published on 09 Apr 2026 - 0:05

score 46 · Answer 14 · 2026-04-14 12:27:24

46

Views

Computing the derivative of an inner product

Published on 14 Apr 2026 - 12:27

score 55 · Answer 15 · 2026-04-15 06:33:34

55

Views

Prove that every tangent of a function cuts $y$ axis at a point that is at equal distance from (0,0) and touching point

Published on 15 Apr 2026 - 6:33

List Question

How to show the derivative of $f(M)=\text{Tr}(M\log (M) -M)$ is $\log (M)$?

Finding the tenth derivative of $f(x) = e^x\sin x$ at $x=0$

Derivative of this application?

integration proofs, substitution using the inverse derivative

Derivative by definition of $ f(x)= 2x\sin(2x)$

Prove monotonic function on $\mathbb{R}$ under given condition

Function that gets n times zero value, is it derivative gets n-1 times 0 value?

lipschitz function in a compact, is it differentiable?

If $f: \mathbb{R}^{n} \to \mathbb{R}$ is such that $|f(x)|\leq x^{3}$, is $f$ second-differentiable in $0$?

If $f: U \to \mathbb{R}^{n}$ is a $C^{1}$ function, $U \subset \mathbb{R}^{n}$ open, show that $f$ is an open map.

Adding changes or derivatives between two points

On the total derivative of a differential form.

Nth derivative formula for high degree power rule

Computing the derivative of an inner product

Prove that every tangent of a function cuts $y$ axis at a point that is at equal distance from (0,0) and touching point

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