List questions from derivatives

Published on 16 Apr 2026 - 20:56

53

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Proving differentiability of a function

Published on 12 Apr 2026 - 5:26

76

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Continuous function of class $C^2$ that consists of cases $0$ if $x\geq 0$, positive if $x<0$

Published on 16 Apr 2026 - 12:28

125

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Proof explanation: Prove that $\Vert f(b)-f(a)-f'(a)(b-a) \Vert\leq \sup_{x\in [a,b]} \Vert f''(x)\Vert\Vert b-a\Vert^2$

Published on 15 Apr 2026 - 9:18

128

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Differentiation of matrix with respect to vector

Published on 14 Apr 2026 - 6:11

210

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Separation of variables using polar coordinates

Published on 12 Apr 2026 - 12:04

90

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Existence of a smooth path connecting two points

Published on 11 Apr 2026 - 12:45

3.2k

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How to minimize $f(x) = \|Ax-b\|$

Published on 09 Apr 2026 - 21:50

20

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Finding the derivative containing a sum

Published on 17 Apr 2026 - 3:59

45

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Prove that $\ell(\Bbb{R}^n,\ell(\Bbb{R}^m,\Bbb{R}^q))=\ell_b(\Bbb{R}^n\times\Bbb{R}^m,\Bbb{R}^q)$

Published on 16 Apr 2026 - 22:02

70

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Prove that $G$ is differentiable on $U$ and $G'(x)=\int^{b}_{a}D_2f(s,x)ds,\;\;x\in U$

Published on 17 Apr 2026 - 13:44

107

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How to find $\nabla_X (a^T X b)$?

Published on 13 Apr 2026 - 12:43

856

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Derivative of a convolution with respect to another variable

Published on 13 Apr 2026 - 8:40

270

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Monotonicity of function at a point

Published on 12 Apr 2026 - 9:32

80

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Why is the derivative of $x^2$ equal to $2x$ rather than $4x$?

Published on 14 Apr 2026 - 10:22

List Question

Radius of curvature of $r=2 \cdot e^{3 \phi}$

Proving differentiability of a function

Continuous function of class $C^2$ that consists of cases $0$ if $x\geq 0$, positive if $x<0$

Proof explanation: Prove that $\Vert f(b)-f(a)-f'(a)(b-a) \Vert\leq \sup_{x\in [a,b]} \Vert f''(x)\Vert\Vert b-a\Vert^2$

Differentiation of matrix with respect to vector

Separation of variables using polar coordinates

Existence of a smooth path connecting two points

How to minimize $f(x) = \|Ax-b\|$

Finding the derivative containing a sum

Prove that $\ell(\Bbb{R}^n,\ell(\Bbb{R}^m,\Bbb{R}^q))=\ell_b(\Bbb{R}^n\times\Bbb{R}^m,\Bbb{R}^q)$

Prove that $G$ is differentiable on $U$ and $G'(x)=\int^{b}_{a}D_2f(s,x)ds,\;\;x\in U$

How to find $\nabla_X (a^T X b)$?

Derivative of a convolution with respect to another variable

Monotonicity of function at a point

Why is the derivative of $x^2$ equal to $2x$ rather than $4x$?

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