List questions from multivariable-calculus

Published on 09 Apr 2026 - 9:08

63

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In general, how can we make a multivariable function differentiable at a specific point?

Published on 05 May 2026 - 17:43

107

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Limit of a certain multivariable rational function

Published on 09 Apr 2026 - 13:16

52

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Equivalence of alternate definitions of diffferentiability.

Published on 05 May 2026 - 17:45

202

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$f(x,y)$ has a Hessian matrix is positive definite for all $(x,y)$, prove that $(a,b)$ is the unique absolute minimum for $f$?

Published on 16 Apr 2026 - 13:00

277

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Multiple minima points and no maximum

Published on 13 Apr 2026 - 1:44

37

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What is the value of $\Delta(|u|^q)$?

Published on 14 Apr 2026 - 4:58

77

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multi-variable chain rule notation question

Published on 11 Apr 2026 - 4:50

87

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PDE: Find all Functions $u \in C^1(\mathbb{R}^2)$ that satisfy $x_2 u_{x_1} - x_1 u_{x_2} = 0$

Published on 17 Apr 2026 - 15:54

246

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Proving a point is a saddle point

Published on 13 Apr 2026 - 18:20

140

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$(2x^2+y^2-5)(2xy-1)$ is positive or negative.

Published on 16 Apr 2026 - 15:47

158

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Roots of $2x^3-4x+1$

Published on 11 May 2026 - 6:39

811

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Silly question about basis vectors as partial derivatives

Published on 09 Apr 2026 - 4:47

2.1k

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Sufficient condition for continuity of function of two variables

Published on 12 Apr 2026 - 7:28

448

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Are there differential forms on $\Bbb{R}^n$ which are neither exact nor closed

Published on 13 Apr 2026 - 22:15

List Question

Confusion in integrating multivariable function

In general, how can we make a multivariable function differentiable at a specific point?

Limit of a certain multivariable rational function

Equivalence of alternate definitions of diffferentiability.

$f(x,y)$ has a Hessian matrix is positive definite for all $(x,y)$, prove that $(a,b)$ is the unique absolute minimum for $f$?

Multiple minima points and no maximum

What is the value of $\Delta(|u|^q)$?

multi-variable chain rule notation question

PDE: Find all Functions $u \in C^1(\mathbb{R}^2)$ that satisfy $x_2 u_{x_1} - x_1 u_{x_2} = 0$

Proving a point is a saddle point

$(2x^2+y^2-5)(2xy-1)$ is positive or negative.

Roots of $2x^3-4x+1$

Silly question about basis vectors as partial derivatives

Sufficient condition for continuity of function of two variables

Are there differential forms on $\Bbb{R}^n$ which are neither exact nor closed

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