List questions from multivariable-calculus

Published on 15 Apr 2026 - 21:52

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Proof convergence of vectors

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Limit of double integral at origin

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Proving limits existance

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Questions on changing bounds of integration for double-integrals

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Why do we have to try all the paths in multivariable limits?

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A difficult 2d trigonometric integral

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Prove that if $f(x, y)$ is continuous on $(0,0)$ then the function $g(x,y)=xyf (x,y)$ is differentiable on $(0,0)$

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differentiate $g(f(x),x)$ with respect to $f(x)$

Published on 15 Apr 2026 - 12:43

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Another difficult 2D trigonometric integral

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When a mathematician says $f(y,x)$ is strictly increasing in $x$, what do they mean?

Published on 13 Apr 2026 - 19:30

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Level curves of exponential

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If f(x,mx) is algebraically reduced to contain only 'm', does it prove the limit does not exist?

Published on 11 May 2026 - 4:19

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Poincare type inequalities

Published on 10 May 2026 - 14:04

386

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Linear approximation of $3$ variable function and its maximum error?

Published on 10 May 2026 - 15:41

List Question

2nd derivative of f(x(t) , y(t))

Proof convergence of vectors

Limit of double integral at origin

Proving limits existance

Questions on changing bounds of integration for double-integrals

Why do we have to try all the paths in multivariable limits?

A difficult 2d trigonometric integral

Prove that if $f(x, y)$ is continuous on $(0,0)$ then the function $g(x,y)=xyf (x,y)$ is differentiable on $(0,0)$

differentiate $g(f(x),x)$ with respect to $f(x)$

Another difficult 2D trigonometric integral

When a mathematician says $f(y,x)$ is strictly increasing in $x$, what do they mean?

Level curves of exponential

If f(x,mx) is algebraically reduced to contain only 'm', does it prove the limit does not exist?

Poincare type inequalities

Linear approximation of $3$ variable function and its maximum error?

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