List questions from derivatives

Published on 10 May 2026 - 19:10

754

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If $f:\mathbb{R}\to\mathbb{R}$ is infinitely-differentiable, and $f(x+y)-f(y-x)=2xf^\prime(y)$, then it is a polynomial of degree less than $2$

Published on 10 May 2026 - 17:21

43

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Question concerning Jacobian of exponential expression

Published on 15 Apr 2026 - 0:09

943

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The equation $ f'(x)=f(x)$ admits a solution

Published on 01 May 2026 - 15:33

69

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Finding functional extremals

Published on 10 Apr 2026 - 11:48

49

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Why is this the second derivative here?

Published on 15 Apr 2026 - 6:12

3.9k

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Partial derivative of a two variables function, one of which dependent on the other

Published on 12 Apr 2026 - 8:22

43

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Directional derivative and manipulation of nonlinear functions

Published on 12 Apr 2026 - 9:47

204

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How to prove the derivative of $a^{T} A^{-1} b$ with respect to $A$

Published on 11 Apr 2026 - 23:54

31

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How do we conclude that $\nabla f(p) = 2np-\sum_{i=1}^n2p_i$?

Published on 16 Apr 2026 - 6:42

1.1k

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Proof that $\cos(2\theta) = \cos^2\theta-\sin^2\theta$ by showing equivalence of derivatives

Published on 14 Apr 2026 - 9:20

56

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Inconsistent lagrange multiplier

Published on 11 Apr 2026 - 19:12

50

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Correcting the following question (of Thomae function) and solving the correct version of it.

Published on 14 Apr 2026 - 7:16

234

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Evaluating $\lim_{x\to 2^+} (x-2)^{x^2-4}$

Published on 16 Apr 2026 - 21:06

1.4k

Views

Chain rule when applying L'Hopital's rule

Published on 10 Apr 2026 - 23:28

List Question

Derivative of matrix using Kronecker Product

If $f:\mathbb{R}\to\mathbb{R}$ is infinitely-differentiable, and $f(x+y)-f(y-x)=2xf^\prime(y)$, then it is a polynomial of degree less than $2$

Question concerning Jacobian of exponential expression

The equation $ f'(x)=f(x)$ admits a solution

Finding functional extremals

Why is this the second derivative here?

Partial derivative of a two variables function, one of which dependent on the other

Directional derivative and manipulation of nonlinear functions

How to prove the derivative of $a^{T} A^{-1} b$ with respect to $A$

How do we conclude that $\nabla f(p) = 2np-\sum_{i=1}^n2p_i$?

Proof that $\cos(2\theta) = \cos^2\theta-\sin^2\theta$ by showing equivalence of derivatives

Inconsistent lagrange multiplier

Correcting the following question (of Thomae function) and solving the correct version of it.

Evaluating $\lim_{x\to 2^+} (x-2)^{x^2-4}$

Chain rule when applying L'Hopital's rule

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